Let's solve each of the ratio word problems step by step. These are all based on
ratios, which compare two quantities.
---
Problem 1:
The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there?
Step-by-step:
- The ratio is
tomatoes : red apples = 2:5
- This means for every
2 tomatoes, there are
5 red apples
- We are told there are
20 tomatoes
- We need to find how many red apples correspond to 20 tomatoes
Set up a proportion:
$$
\frac{2}{5} = \frac{20}{x}
$$
Cross-multiply:
$$
2x = 5 \times 20 = 100
$$
$$
x = \frac{100}{2} = 50
$$
✔ Answer: 50 red apples
---
Problem 2:
The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?
- Ratio:
berries : oranges = 10:1
- So, for every
1 orange, there are
10 berries
- There are
25 oranges, so multiply:
$$
25 \times 10 = 250
$$
✔ Answer: 250 berries
---
Problem 3:
The ratio of potatoes to turnips is 1:1. If there are 472 potatoes, how many turnips are there?
- Ratio:
potatoes : turnips = 1:1
- This means they are equal in number
- So, if there are 472 potatoes, then there are also
472 turnips
✔ Answer: 472 turnips
---
Problem 4:
The ratio of pears to green apples is 1:3. If there are 150 green apples, how many pears are there?
- Ratio:
pears : green apples = 1:3
- For every
3 green apples, there is
1 pear
- We have 150 green apples → divide by 3 to get the number of pears:
$$
\frac{150}{3} = 50
$$
✔ Answer: 50 pears
---
Problem 5:
The ratio of bananas to melons is 30:1. If there are 300 bananas, how many melons are there?
- Ratio:
bananas : melons = 30:1
- So, 30 bananas → 1 melon
- 300 bananas → ?
Divide 300 by 30:
$$
\frac{300}{30} = 10
$$
✔ Answer: 10 melons
---
Problem 6:
The ratio of blueberries to strawberries is 1:7. If there are 210 strawberries, how many blueberries are there?
- Ratio:
blueberries : strawberries = 1:7
- For every
7 strawberries, there is
1 blueberry
- So, divide 210 by 7:
$$
\frac{210}{7} = 30
$$
✔ Answer: 30 blueberries
---
✔ Final Answers:
1.
50 red apples
2.
250 berries
3.
472 turnips
4.
50 pears
5.
10 melons
6.
30 blueberries
Let me know if you'd like these explained using visual models or diagrams!
Parent Tip: Review the logic above to help your child master the concept of ratios word problems worksheet.
