Worksheet with ratio word problems for math practice.
A worksheet titled "Sales, Stars, and Liquid Ratio Word Problems" with seven math word problems involving ratios, featuring a cartoon illustration of a smiling robot holding a wrench on a laptop.
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Step-by-step solution for: Ratio And Proportion Word Problems Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Ratio And Proportion Word Problems Worksheet
Let’s solve each problem one by one, step by step.
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Problem 1:
The ratio of desktop computers to laptops sold is 5 to 9.
That means for every 5 desktops, there are 9 laptops.
If 20 desktops were sold, how many laptops?
Step 1: Find out how many times bigger 20 is than 5.
→ 20 ÷ 5 = 4
Step 2: Multiply the laptop part of the ratio (9) by that same number (4).
→ 9 × 4 = 36
✔ So, 36 laptops were sold.
---
Problem 2:
Ratio of mangoes to bananas is 4 to 10.
Total bananas sold = 30. How many bananas? Wait — it says “if a total of 30 bananas were sold”, so we’re being asked… actually, re-reading:
> “If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
Wait — that seems like a trick or typo. But let’s read carefully:
Actually, the question says:
“The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold...”
That doesn’t make sense — if they tell you 30 bananas were sold, why ask how many? Maybe it’s a misprint and they meant “how many mangoes”?
But looking again — maybe it’s testing if you notice? Or perhaps it’s asking for total fruits? Let me check the original wording:
Original:
“2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
This must be an error. Probably meant: “how many mangoes?” because otherwise it’s trivial.
Assuming it’s a typo and should be “how many mangoes?”:
Ratio mangoes : bananas = 4 : 10
Bananas = 30 → which is 3 times 10 (since 10 × 3 = 30)
So mangoes = 4 × 3 = 12
But since the question literally asks “how many bananas”, and tells us 30 were sold... then answer is 30.
However, that seems too silly. Let me double-check the image text.
Looking back at user input:
“2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
It really does say that. So unless it’s a trick question, the answer is 30.
But that can’t be right pedagogically. More likely, it’s supposed to be “how many mangoes?”.
Given this ambiguity, I’ll assume it’s a typo and they want mangoes. Because otherwise, problem 2 is pointless.
So proceeding under assumption: find number of mangoes.
→ Bananas = 30 → corresponds to 10 parts → each part = 3
→ Mangoes = 4 parts → 4 × 3 = 12
✔ Answer: 12 mangoes (assuming typo)
But wait — let’s hold on. Maybe “total of 30 bananas” is correct, and they just want confirmation? No, that doesn’t help learning.
Alternatively, maybe “a total of 30 [fruits]” was intended? Let’s test that.
If total fruits = 30, ratio 4:10 → total parts = 14 → not divisible evenly into 30.
No, better to stick with: bananas = 30 → scale factor = 3 → mangoes = 12.
I think safest is to go with 12 mangoes, assuming typo.
But since the question explicitly says “how many bananas”, and gives 30, perhaps it’s testing attention? Unlikely.
Another possibility: maybe “if a total of 30 [items] were sold”, meaning mangoes + bananas = 30?
Let’s try that interpretation.
Ratio 4:10 → total parts = 14
30 ÷ 14 ≈ 2.14 — not whole number → unlikely.
Best bet: typo, should be “how many mangoes?” → answer 12.
I’ll proceed with that.
---
Problem 3:
Ratio of stars in two constellations is 4 to 5.
First constellation has 24 stars. How many in second?
Step 1: 4 parts = 24 → 1 part = 24 ÷ 4 = 6
Step 2: Second constellation = 5 parts → 5 × 6 = 30
✔ Answer: 30 stars
---
Problem 4:
Candies to cakes ratio = 5 to 11
Shop prepares 55 candies → how many cakes?
Step 1: 5 parts = 55 → 1 part = 55 ÷ 5 = 11
Step 2: Cakes = 11 parts → 11 × 11 = 121
✔ Answer: 121 cakes
---
Problem 5:
Protons to neutrons = 5 to 6
Protons = 30 → find neutrons.
Step 1: 5 parts = 30 → 1 part = 6
Step 2: Neutrons = 6 parts → 6 × 6 = 36
✔ Answer: 36 neutrons
---
Problem 6:
Boys to girls = 2 to 3
Number of boys = 20 → find girls.
Step 1: 2 parts = 20 → 1 part = 10
Step 2: Girls = 3 parts → 3 × 10 = 30
✔ Answer: 30 girls
---
Problem 7:
Liquid in two containers ratio = 4 to 11
One container has 20 gallons → find amount in second.
Which one is 20? It says “one of the containers has 20 gallons”. Could be either.
Case 1: First container (4 parts) = 20 → 1 part = 5 → second = 11 × 5 = 55
Case 2: Second container (11 parts) = 20 → 1 part = 20/11 ≈ 1.818 → first = 4 × 20/11 ≈ 7.27 — not nice number.
Since problems usually give whole numbers, likely the 20 gallons is the first container (4 parts).
Also, 20 ÷ 4 = 5, clean division.
So assume 20 gallons is the smaller one (4 parts).
Then second container = 11 × 5 = 55 gallons.
✔ Answer: 55 gallons
---
Now compiling all answers:
1. 36
2. Assuming typo, 12 (mangoes) — but if taken literally, 30. Given context, I'll go with 12 as intended.
Wait — let me re-read problem 2 once more from user input:
"2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?"
It says "how many bananas" — and already told us 30. This must be an error. Perhaps it's "how many mangoes"? Or "how many total fruits"?
Another thought: maybe "a total of 30" refers to something else? No, it says "30 bananas".
Perhaps it's a trick to see if students copy without thinking? But that’s not fair.
In educational contexts, when such errors occur, we assume intent. Since ratio is given, and one value, likely they want the other quantity.
So I will answer 12 for problem 2, noting it’s probably meant to be mangoes.
To be precise, let’s list:
Final Answers:
1. 36
2. 12 (assuming question meant "how many mangoes")
3. 30
4. 121
5. 36
6. 30
7. 55
But for problem 2, if we take it literally, answer is 30. However, that makes no sense in context. I think 12 is what’s expected.
Perhaps the question is: “if a total of 30 [fruits] were sold”, but it says “bananas”.
Looking at the original text provided by user:
“2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
It’s possible it’s a copy-paste error, and it should be “how many mangoes?”.
I’ll go with 12 for problem 2.
---
Final Answer:
1. 36
2. 12
3. 30
4. 121
5. 36
6. 30
7. 55
---
Problem 1:
The ratio of desktop computers to laptops sold is 5 to 9.
That means for every 5 desktops, there are 9 laptops.
If 20 desktops were sold, how many laptops?
Step 1: Find out how many times bigger 20 is than 5.
→ 20 ÷ 5 = 4
Step 2: Multiply the laptop part of the ratio (9) by that same number (4).
→ 9 × 4 = 36
✔ So, 36 laptops were sold.
---
Problem 2:
Ratio of mangoes to bananas is 4 to 10.
Total bananas sold = 30. How many bananas? Wait — it says “if a total of 30 bananas were sold”, so we’re being asked… actually, re-reading:
> “If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
Wait — that seems like a trick or typo. But let’s read carefully:
Actually, the question says:
“The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold...”
That doesn’t make sense — if they tell you 30 bananas were sold, why ask how many? Maybe it’s a misprint and they meant “how many mangoes”?
But looking again — maybe it’s testing if you notice? Or perhaps it’s asking for total fruits? Let me check the original wording:
Original:
“2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
This must be an error. Probably meant: “how many mangoes?” because otherwise it’s trivial.
Assuming it’s a typo and should be “how many mangoes?”:
Ratio mangoes : bananas = 4 : 10
Bananas = 30 → which is 3 times 10 (since 10 × 3 = 30)
So mangoes = 4 × 3 = 12
But since the question literally asks “how many bananas”, and tells us 30 were sold... then answer is 30.
However, that seems too silly. Let me double-check the image text.
Looking back at user input:
“2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
It really does say that. So unless it’s a trick question, the answer is 30.
But that can’t be right pedagogically. More likely, it’s supposed to be “how many mangoes?”.
Given this ambiguity, I’ll assume it’s a typo and they want mangoes. Because otherwise, problem 2 is pointless.
So proceeding under assumption: find number of mangoes.
→ Bananas = 30 → corresponds to 10 parts → each part = 3
→ Mangoes = 4 parts → 4 × 3 = 12
✔ Answer: 12 mangoes (assuming typo)
But wait — let’s hold on. Maybe “total of 30 bananas” is correct, and they just want confirmation? No, that doesn’t help learning.
Alternatively, maybe “a total of 30 [fruits]” was intended? Let’s test that.
If total fruits = 30, ratio 4:10 → total parts = 14 → not divisible evenly into 30.
No, better to stick with: bananas = 30 → scale factor = 3 → mangoes = 12.
I think safest is to go with 12 mangoes, assuming typo.
But since the question explicitly says “how many bananas”, and gives 30, perhaps it’s testing attention? Unlikely.
Another possibility: maybe “if a total of 30 [items] were sold”, meaning mangoes + bananas = 30?
Let’s try that interpretation.
Ratio 4:10 → total parts = 14
30 ÷ 14 ≈ 2.14 — not whole number → unlikely.
Best bet: typo, should be “how many mangoes?” → answer 12.
I’ll proceed with that.
---
Problem 3:
Ratio of stars in two constellations is 4 to 5.
First constellation has 24 stars. How many in second?
Step 1: 4 parts = 24 → 1 part = 24 ÷ 4 = 6
Step 2: Second constellation = 5 parts → 5 × 6 = 30
✔ Answer: 30 stars
---
Problem 4:
Candies to cakes ratio = 5 to 11
Shop prepares 55 candies → how many cakes?
Step 1: 5 parts = 55 → 1 part = 55 ÷ 5 = 11
Step 2: Cakes = 11 parts → 11 × 11 = 121
✔ Answer: 121 cakes
---
Problem 5:
Protons to neutrons = 5 to 6
Protons = 30 → find neutrons.
Step 1: 5 parts = 30 → 1 part = 6
Step 2: Neutrons = 6 parts → 6 × 6 = 36
✔ Answer: 36 neutrons
---
Problem 6:
Boys to girls = 2 to 3
Number of boys = 20 → find girls.
Step 1: 2 parts = 20 → 1 part = 10
Step 2: Girls = 3 parts → 3 × 10 = 30
✔ Answer: 30 girls
---
Problem 7:
Liquid in two containers ratio = 4 to 11
One container has 20 gallons → find amount in second.
Which one is 20? It says “one of the containers has 20 gallons”. Could be either.
Case 1: First container (4 parts) = 20 → 1 part = 5 → second = 11 × 5 = 55
Case 2: Second container (11 parts) = 20 → 1 part = 20/11 ≈ 1.818 → first = 4 × 20/11 ≈ 7.27 — not nice number.
Since problems usually give whole numbers, likely the 20 gallons is the first container (4 parts).
Also, 20 ÷ 4 = 5, clean division.
So assume 20 gallons is the smaller one (4 parts).
Then second container = 11 × 5 = 55 gallons.
✔ Answer: 55 gallons
---
Now compiling all answers:
1. 36
2. Assuming typo, 12 (mangoes) — but if taken literally, 30. Given context, I'll go with 12 as intended.
Wait — let me re-read problem 2 once more from user input:
"2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?"
It says "how many bananas" — and already told us 30. This must be an error. Perhaps it's "how many mangoes"? Or "how many total fruits"?
Another thought: maybe "a total of 30" refers to something else? No, it says "30 bananas".
Perhaps it's a trick to see if students copy without thinking? But that’s not fair.
In educational contexts, when such errors occur, we assume intent. Since ratio is given, and one value, likely they want the other quantity.
So I will answer 12 for problem 2, noting it’s probably meant to be mangoes.
To be precise, let’s list:
Final Answers:
1. 36
2. 12 (assuming question meant "how many mangoes")
3. 30
4. 121
5. 36
6. 30
7. 55
But for problem 2, if we take it literally, answer is 30. However, that makes no sense in context. I think 12 is what’s expected.
Perhaps the question is: “if a total of 30 [fruits] were sold”, but it says “bananas”.
Looking at the original text provided by user:
“2. The ratio of mangoes sold to bananas sold is 4 to 10. If a total of 30 bananas were sold, then how many bananas were sold by the fruit seller?”
It’s possible it’s a copy-paste error, and it should be “how many mangoes?”.
I’ll go with 12 for problem 2.
---
Final Answer:
1. 36
2. 12
3. 30
4. 121
5. 36
6. 30
7. 55
Parent Tip: Review the logic above to help your child master the concept of proportional word problems worksheet.