Since I can’t view or process images directly, I’ll rely on the text you’ve provided — which appears to be a worksheet titled
“All Mixed Up” with 5 word problems. I’ll solve each problem step by step and explain the reasoning.
---
Problem 1:
> A band sold glow sticks for $1.25 each and 3 ounces of cake at $0.75 per ounce. If they sold 80 glow sticks and 20 cakes, how many ounces of cake were sold?
Step-by-step solution:
- Each cake is
3 ounces.
- They sold
20 cakes.
- So total ounces of cake = 20 cakes × 3 ounces/cake =
60 ounces.
✔ Answer: 60 ounces
*(Note: The price per glow stick and per ounce is irrelevant here — the question only asks for total ounces of cake sold.)*
---
Problem 2:
> Main Street Ice Cream Parlor sells two flavors: vanilla at $2.25 per scoop and chocolate at $2.75 per scoop. How much more does a chocolate scoop cost than a vanilla scoop?
Step-by-step solution:
- Chocolate scoop: $2.75
- Vanilla scoop: $2.25
- Difference = $2.75 - $2.25 =
$0.50
✔ Answer: $0.50
---
Problem 3:
> All colors are derived from primary colors. A shade of purple is made by mixing 3 parts blue paint with 2 parts red paint. How many parts of red paint are needed to obtain the same shade if 9 parts of blue paint are used?
Step-by-step solution:
This is a
proportion/ratio problem.
Original ratio:
Blue : Red = 3 : 2
We now have
9 parts blue — that’s
3 times as much as 3 (since 9 ÷ 3 = 3).
So, we must also multiply the red part by 3:
Red = 2 × 3 =
6 parts
✔ Answer: 6 parts
---
Problem 4:
> The local football team sponsored a game with a fundraiser. An adult ticket costs $12.00 and a child ticket costs $6.00. If 100 adult tickets and 50 child tickets were sold, how much money was collected?
Step-by-step solution:
- Adult tickets: 100 × $12.00 =
$1,200
- Child tickets: 50 × $6.00 =
$300
- Total = $1,200 + $300 =
$1,500
✔ Answer: $1,500
---
Problem 5:
> Concert tickets sold in advance cost $25 each and at the door cost $30 each. If 120 tickets were sold in advance and 80 were sold at the door, how much money was collected for the concert?
Step-by-step solution:
- Advance tickets: 120 × $25 =
$3,000
- At-the-door tickets: 80 × $30 =
$2,400
- Total = $3,000 + $2,400 =
$5,400
✔ Answer: $5,400
---
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✔ Final Answers:
1.
60 ounces
2.
$0.50
3.
6 parts
4.
$1,500
5.
$5,400
Let me know if you’d like these explained differently or need visual diagrams (which I can describe textually)!
Parent Tip: Review the logic above to help your child master the concept of math word problems worksheet for high school.
