Sure! Let’s solve each of the
Ratio Word Problems step by step. We’ll use the concept of
proportions — if two ratios are equal, we can set up an equation and solve for the unknown.
---
Problem 1:
> The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there?
Solution:
We’re told:
- Tomatoes : Red Apples = 2 : 5
- Tomatoes = 20 → Find Red Apples
Set up a proportion:
\[
\frac{2}{5} = \frac{20}{x}
\]
Cross-multiply:
\[
2x = 5 \times 20 \\
2x = 100 \\
x = \frac{100}{2} = 50
\]
✔ 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?
Solution:
Berries : Oranges = 10 : 1
Oranges = 25 → Find Berries
Proportion:
\[
\frac{10}{1} = \frac{x}{25}
\]
Cross-multiply:
\[
1 \cdot x = 10 \cdot 25 \\
x = 250
\]
✔ Answer: 250 berries
---
Problem 3:
> The ratio of potatoes to turnips is 1:1. If there are 473 potatoes, how many turnips are there?
Solution:
Potatoes : Turnips = 1 : 1 → This means they are equal!
So if there are 473 potatoes, there must be
473 turnips.
✔ Answer: 473 turnips
---
Problem 4:
> The ratio of pears to green apples is 1:3. If there are 150 green apples, how many pears are there?
Solution:
Pears : Green Apples = 1 : 3
Green Apples = 150 → Find Pears
Proportion:
\[
\frac{1}{3} = \frac{x}{150}
\]
Cross-multiply:
\[
3x = 1 \cdot 150 \\
3x = 150 \\
x = \frac{150}{3} = 50
\]
✔ Answer: 50 pears
---
Problem 5:
> The ratio of bananas to melons is 30:1. If there are 300 bananas, how many melons are there?
Solution:
Bananas : Melons = 30 : 1
Bananas = 300 → Find Melons
Proportion:
\[
\frac{30}{1} = \frac{300}{x}
\]
Cross-multiply:
\[
30x = 300 \cdot 1 \\
30x = 300 \\
x = \frac{300}{30} = 10
\]
✔ Answer: 10 melons
---
Problem 6:
> The ratio of blueberries to strawberries is 1:7. If there are 210 strawberries, how many blueberries are there?
Solution:
Blueberries : Strawberries = 1 : 7
Strawberries = 210 → Find Blueberries
Proportion:
\[
\frac{1}{7} = \frac{x}{210}
\]
Cross-multiply:
\[
7x = 1 \cdot 210 \\
7x = 210 \\
x = \frac{210}{7} = 30
\]
✔ Answer: 30 blueberries
---
##
✔ Final Answers Summary:
1.
50 red apples
2.
250 berries
3.
473 turnips
4.
50 pears
5.
10 melons
6.
30 blueberries
Let me know if you’d like to visualize these with diagrams or tables!
Parent Tip: Review the logic above to help your child master the concept of 7th grade proportion word problem worksheet.
