Problem of the Week, # 5 - Free Printable
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Step-by-step solution for: Problem of the Week, # 5
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Show Answer Key & Explanations
Step-by-step solution for: Problem of the Week, # 5
Let’s solve this step by step using the clues.
We have 6 friends: Jake, Grace, Sonia, Haley, Mackenzie, Erick
And we need to match each with one favorite food and one favorite drink from the lists:
Foods: Pizza, Tacos, Spaghetti, Cheeseburgers, Chili, Chicken Nuggets
Drinks: Lemonade, Cola, Water, Milk, Juice, Lemon-lime soda
Now let’s go clue by clue.
---
Clue 1: *Sonia’s food can be pretty spicy and her drink is almost tasteless.*
- “Almost tasteless” drink → that’s Water
- Spicy food? Could be Tacos, Chili, or maybe Pizza (if it has spice). But let’s hold on — we’ll see which fits best later.
→ So Sonia’s drink = Water
---
Clue 2: *Brick likes to twirl his food around a fork. His drink come from different fruits.*
Wait — there’s no “Brick” in the list of names! The names are: Jake, Grace, Sonia, Haley, Mackenzie, Erick.
Hmm… maybe “Brick” is a typo? Let’s check the other clues.
Actually, looking again — Clue 5 says: *Jake’s favorite food has a crunchy shell and he can see through his drink.*
“See through his drink” → that means clear drink → Lemon-lime soda or Water? But Water is already taken by Sonia (from clue 1).
Also, “crunchy shell” food → could be Tacos (hard shell) or maybe Chicken Nuggets? But chicken nuggets don’t usually have a “shell”.
Wait — “see through his drink” → probably Lemon-lime soda (clear), not water (also clear but assigned to Sonia).
But let’s keep going.
Clue 3: *Haley loves the cheesiness of her meatless food and the bubbliness of her drink.*
- Meatless + cheesy → likely Cheeseburgers? Wait, cheeseburgers have meat. Hmm.
- Maybe Spaghetti with cheese? Or Pizza? But pizza often has meat too.
- “Meatless” → so no beef, chicken, etc.
- Cheesy meatless food → maybe Cheese Pizza? But “Pizza” is listed as one item.
- Bubbliness → carbonated drink → Cola, Lemon-lime soda, maybe Juice if fizzy? Usually cola or lemon-lime soda.
Hold on — maybe “cheesiness of her meatless food” → Macaroni and cheese? Not on list. Wait — what about Cheeseburgers? No, they’re not meatless.
Wait — perhaps Spaghetti with cheese sauce? That could be meatless.
Or maybe Pizza without meat? Still ambiguous.
Let’s look at Clue 4: *Grace loves chicken nuggets. She also loves to drink dairy products.*
→ So Grace’s food = Chicken Nuggets
→ Drink = dairy product → Milk
That’s solid!
So:
Grace → Chicken Nuggets, Milk
---
Clue 5: *Jake’s favorite food has a crunchy shell and he can see through his drink.*
Crunchy shell → likely Tacos (hard shell tacos)
See-through drink → clear liquid → Lemon-lime soda or Water — but Water is taken by Sonia (clue 1)
So Jake → Tacos, Lemon-lime soda
Wait — but clue 1 said Sonia’s drink is almost tasteless → Water. So yes, Lemon-lime soda is available for Jake.
So:
Jake → Tacos, Lemon-lime soda
---
Clue 6: *During warm months, Mackenzie sells her favorite drink at a stand.*
What drink do people sell at stands in warm months? Often Lemonade
So Mackenzie → drink = Lemonade
Food? Not yet known.
---
Back to Clue 1: Sonia → drink = Water
Food: spicy → options left: Pizza, Spaghetti, Chili (since Tacos and Chicken Nuggets taken)
Chili is often spicy → possible.
Clue 3: Haley → meatless + cheesy food, bubbly drink
Meatless + cheesy → maybe Cheese Pizza? But “Pizza” is one option.
Or Spaghetti with cheese? Also possible.
Bubbly drink → Cola or Lemon-lime soda — but Lemon-lime soda is taken by Jake.
So Haley’s drink = Cola
Then food: meatless and cheesy → between Pizza and Spaghetti.
If we assume “cheesiness” points to Cheese Pizza, then Pizza.
But let’s see what’s left.
Current assignments:
Grace: Chicken Nuggets, Milk
Jake: Tacos, Lemon-lime soda
Mackenzie: ?, Lemonade
Sonia: ?, Water
Haley: ?, Cola
Erick: ?, ?
Foods left: Pizza, Spaghetti, Chili
Drinks left: Juice (only one left unassigned)
Drinks assigned:
Milk (Grace), Lemon-lime soda (Jake), Lemonade (Mackenzie), Water (Sonia), Cola (Haley) → so only Juice left for Erick.
So Erick → drink = Juice
Now foods: Pizza, Spaghetti, Chili for Sonia, Haley, Mackenzie
Clue 3: Haley → meatless + cheesy → so if she gets Pizza, that works (assuming cheese pizza)
Clue 1: Sonia → spicy food → Chili is typically spicy → so Sonia → Chili
Then Mackenzie → last food: Spaghetti
Check clue 3 again: Haley → meatless and cheesy → Pizza fits better than Spaghetti? Spaghetti can be with meat sauce, but if it’s just cheese, it’s okay. But Pizza is more commonly associated with “cheesiness”.
Alternatively, maybe Spaghetti with Alfredo? But let’s go with common associations.
Also, clue 2 mentioned “Brick” — but since Brick isn’t in the name list, perhaps it’s a red herring or typo. Maybe it was meant to be “Erick”? Let’s check.
Clue 2: *Brick likes to twirl his food around a fork. His drink come from different fruits.*
Twirl food around fork → spaghetti! Because you twirl spaghetti on a fork.
Drink from different fruits → Juice (often made from multiple fruits)
So if “Brick” is actually “Erick”, then:
Erick → Spaghetti, Juice
That makes sense!
Then:
Haley → needs meatless + cheesy → Pizza
Sonia → spicy → Chili
Mackenzie → only food left: none? Wait:
Foods: Pizza, Tacos, Spaghetti, Cheeseburgers, Chili, Chicken Nuggets
Assigned:
Grace: Chicken Nuggets
Jake: Tacos
Erick: Spaghetti (if Brick=Erick)
Sonia: Chili
Haley: Pizza
Mackenzie: ??? Only Cheeseburgers left?
But clue 6: Mackenzie sells her favorite drink at a stand → we said Lemonade, which is fine.
But food: Cheeseburgers? Is that okay? No clue against it.
But wait — clue 3: Haley → meatless → Pizza can be meatless, Cheeseburgers are not meatless, so Mackenzie getting Cheeseburgers is fine.
But let’s confirm all:
Final assignment:
- Jake: Tacos, Lemon-lime soda (clue 5: crunchy shell, see-through drink)
- Grace: Chicken Nuggets, Milk (clue 4)
- Sonia: Chili, Water (clue 1: spicy food, tasteless drink)
- Haley: Pizza, Cola (clue 3: meatless+cheesy → pizza; bubbly → cola)
- Mackenzie: Cheeseburgers, Lemonade (clue 6: sells drink at stand → lemonade; food left)
- Erick: Spaghetti, Juice (clue 2: twirl food → spaghetti; fruit drink → juice — assuming "Brick" is typo for "Erick")
This fits all clues.
Double-check:
Clue 1: Sonia - Chili (spicy), Water (tasteless) ✔
Clue 2: If Erick is Brick - Spaghetti (twirl), Juice (fruits) ✔
Clue 3: Haley - Pizza (cheesy, can be meatless), Cola (bubbly) ✔
Clue 4: Grace - Chicken Nuggets, Milk (dairy) ✔
Clue 5: Jake - Tacos (crunchy shell), Lemon-lime soda (see-through) ✔
Clue 6: Mackenzie - Lemonade (sold at stand in summer) ✔
All good.
Final Answer:
Jake: Tacos, Lemon-lime soda
Grace: Chicken Nuggets, Milk
Sonia: Chili, Water
Haley: Pizza, Cola
Mackenzie: Cheeseburgers, Lemonade
Erick: Spaghetti, Juice
We have 6 friends: Jake, Grace, Sonia, Haley, Mackenzie, Erick
And we need to match each with one favorite food and one favorite drink from the lists:
Foods: Pizza, Tacos, Spaghetti, Cheeseburgers, Chili, Chicken Nuggets
Drinks: Lemonade, Cola, Water, Milk, Juice, Lemon-lime soda
Now let’s go clue by clue.
---
Clue 1: *Sonia’s food can be pretty spicy and her drink is almost tasteless.*
- “Almost tasteless” drink → that’s Water
- Spicy food? Could be Tacos, Chili, or maybe Pizza (if it has spice). But let’s hold on — we’ll see which fits best later.
→ So Sonia’s drink = Water
---
Clue 2: *Brick likes to twirl his food around a fork. His drink come from different fruits.*
Wait — there’s no “Brick” in the list of names! The names are: Jake, Grace, Sonia, Haley, Mackenzie, Erick.
Hmm… maybe “Brick” is a typo? Let’s check the other clues.
Actually, looking again — Clue 5 says: *Jake’s favorite food has a crunchy shell and he can see through his drink.*
“See through his drink” → that means clear drink → Lemon-lime soda or Water? But Water is already taken by Sonia (from clue 1).
Also, “crunchy shell” food → could be Tacos (hard shell) or maybe Chicken Nuggets? But chicken nuggets don’t usually have a “shell”.
Wait — “see through his drink” → probably Lemon-lime soda (clear), not water (also clear but assigned to Sonia).
But let’s keep going.
Clue 3: *Haley loves the cheesiness of her meatless food and the bubbliness of her drink.*
- Meatless + cheesy → likely Cheeseburgers? Wait, cheeseburgers have meat. Hmm.
- Maybe Spaghetti with cheese? Or Pizza? But pizza often has meat too.
- “Meatless” → so no beef, chicken, etc.
- Cheesy meatless food → maybe Cheese Pizza? But “Pizza” is listed as one item.
- Bubbliness → carbonated drink → Cola, Lemon-lime soda, maybe Juice if fizzy? Usually cola or lemon-lime soda.
Hold on — maybe “cheesiness of her meatless food” → Macaroni and cheese? Not on list. Wait — what about Cheeseburgers? No, they’re not meatless.
Wait — perhaps Spaghetti with cheese sauce? That could be meatless.
Or maybe Pizza without meat? Still ambiguous.
Let’s look at Clue 4: *Grace loves chicken nuggets. She also loves to drink dairy products.*
→ So Grace’s food = Chicken Nuggets
→ Drink = dairy product → Milk
That’s solid!
So:
Grace → Chicken Nuggets, Milk
---
Clue 5: *Jake’s favorite food has a crunchy shell and he can see through his drink.*
Crunchy shell → likely Tacos (hard shell tacos)
See-through drink → clear liquid → Lemon-lime soda or Water — but Water is taken by Sonia (clue 1)
So Jake → Tacos, Lemon-lime soda
Wait — but clue 1 said Sonia’s drink is almost tasteless → Water. So yes, Lemon-lime soda is available for Jake.
So:
Jake → Tacos, Lemon-lime soda
---
Clue 6: *During warm months, Mackenzie sells her favorite drink at a stand.*
What drink do people sell at stands in warm months? Often Lemonade
So Mackenzie → drink = Lemonade
Food? Not yet known.
---
Back to Clue 1: Sonia → drink = Water
Food: spicy → options left: Pizza, Spaghetti, Chili (since Tacos and Chicken Nuggets taken)
Chili is often spicy → possible.
Clue 3: Haley → meatless + cheesy food, bubbly drink
Meatless + cheesy → maybe Cheese Pizza? But “Pizza” is one option.
Or Spaghetti with cheese? Also possible.
Bubbly drink → Cola or Lemon-lime soda — but Lemon-lime soda is taken by Jake.
So Haley’s drink = Cola
Then food: meatless and cheesy → between Pizza and Spaghetti.
If we assume “cheesiness” points to Cheese Pizza, then Pizza.
But let’s see what’s left.
Current assignments:
Grace: Chicken Nuggets, Milk
Jake: Tacos, Lemon-lime soda
Mackenzie: ?, Lemonade
Sonia: ?, Water
Haley: ?, Cola
Erick: ?, ?
Foods left: Pizza, Spaghetti, Chili
Drinks left: Juice (only one left unassigned)
Drinks assigned:
Milk (Grace), Lemon-lime soda (Jake), Lemonade (Mackenzie), Water (Sonia), Cola (Haley) → so only Juice left for Erick.
So Erick → drink = Juice
Now foods: Pizza, Spaghetti, Chili for Sonia, Haley, Mackenzie
Clue 3: Haley → meatless + cheesy → so if she gets Pizza, that works (assuming cheese pizza)
Clue 1: Sonia → spicy food → Chili is typically spicy → so Sonia → Chili
Then Mackenzie → last food: Spaghetti
Check clue 3 again: Haley → meatless and cheesy → Pizza fits better than Spaghetti? Spaghetti can be with meat sauce, but if it’s just cheese, it’s okay. But Pizza is more commonly associated with “cheesiness”.
Alternatively, maybe Spaghetti with Alfredo? But let’s go with common associations.
Also, clue 2 mentioned “Brick” — but since Brick isn’t in the name list, perhaps it’s a red herring or typo. Maybe it was meant to be “Erick”? Let’s check.
Clue 2: *Brick likes to twirl his food around a fork. His drink come from different fruits.*
Twirl food around fork → spaghetti! Because you twirl spaghetti on a fork.
Drink from different fruits → Juice (often made from multiple fruits)
So if “Brick” is actually “Erick”, then:
Erick → Spaghetti, Juice
That makes sense!
Then:
Haley → needs meatless + cheesy → Pizza
Sonia → spicy → Chili
Mackenzie → only food left: none? Wait:
Foods: Pizza, Tacos, Spaghetti, Cheeseburgers, Chili, Chicken Nuggets
Assigned:
Grace: Chicken Nuggets
Jake: Tacos
Erick: Spaghetti (if Brick=Erick)
Sonia: Chili
Haley: Pizza
Mackenzie: ??? Only Cheeseburgers left?
But clue 6: Mackenzie sells her favorite drink at a stand → we said Lemonade, which is fine.
But food: Cheeseburgers? Is that okay? No clue against it.
But wait — clue 3: Haley → meatless → Pizza can be meatless, Cheeseburgers are not meatless, so Mackenzie getting Cheeseburgers is fine.
But let’s confirm all:
Final assignment:
- Jake: Tacos, Lemon-lime soda (clue 5: crunchy shell, see-through drink)
- Grace: Chicken Nuggets, Milk (clue 4)
- Sonia: Chili, Water (clue 1: spicy food, tasteless drink)
- Haley: Pizza, Cola (clue 3: meatless+cheesy → pizza; bubbly → cola)
- Mackenzie: Cheeseburgers, Lemonade (clue 6: sells drink at stand → lemonade; food left)
- Erick: Spaghetti, Juice (clue 2: twirl food → spaghetti; fruit drink → juice — assuming "Brick" is typo for "Erick")
This fits all clues.
Double-check:
Clue 1: Sonia - Chili (spicy), Water (tasteless) ✔
Clue 2: If Erick is Brick - Spaghetti (twirl), Juice (fruits) ✔
Clue 3: Haley - Pizza (cheesy, can be meatless), Cola (bubbly) ✔
Clue 4: Grace - Chicken Nuggets, Milk (dairy) ✔
Clue 5: Jake - Tacos (crunchy shell), Lemon-lime soda (see-through) ✔
Clue 6: Mackenzie - Lemonade (sold at stand in summer) ✔
All good.
Final Answer:
Jake: Tacos, Lemon-lime soda
Grace: Chicken Nuggets, Milk
Sonia: Chili, Water
Haley: Pizza, Cola
Mackenzie: Cheeseburgers, Lemonade
Erick: Spaghetti, Juice
Parent Tip: Review the logic above to help your child master the concept of printable logic games for middle school.