Proportion word problems with full solutions:
1. A pack of 4 pens costs $6. How much would 10 pens cost?
Solution:
Cost per pen = $6 ÷ 4 = $1.50
Cost for 10 pens = 10 × $1.50 = $15
✅ Answer: c) $15
2. A bakery sells 3 cupcakes for $9. How much for 7 cupcakes?
Solution:
Cost per cupcake = $9 ÷ 3 = $3
Cost for 7 cupcakes = 7 × $3 = $21
✅ Answer: b) $21
3. 6 notebooks cost $18. How much would 2 notebooks cost?
Solution:
Cost per notebook = $18 ÷ 6 = $3
Cost for 2 notebooks = 2 × $3 = $6
✅ Answer: c) $6
4. A store offers 10 pencils for $5. What would 25 pencils cost?
Solution:
Cost per pencil = $5 ÷ 10 = $0.50
Cost for 25 pencils = 25 × $0.50 = $12.50
✅ Answer: b) $12.50
5. 8 chocolate bars cost $16. How much do 5 chocolate bars cost?
Solution:
Cost per bar = $16 ÷ 8 = $2
Cost for 5 bars = 5 × $2 = $10
✅ Answer: c) $10
6. A bundle of 12 apples costs $24. What’s the cost of 6 apples?
Solution:
Cost per apple = $24 ÷ 12 = $2
Cost for 6 apples = 6 × $2 = $12
✅ Answer: b) $12
7. 7 liters of juice cost $14. What is the price for 3 liters?
Solution:
Cost per liter = $14 ÷ 7 = $2
Cost for 3 liters = 3 × $2 = $6
✅ Answer: b) $6
8. A box of 9 markers costs $27. How much would 4 markers cost?
Solution:
Cost per marker = $27 ÷ 9 = $3
Cost for 4 markers = 4 × $3 = $12
✅ Answer: c) $12
9. You get 2 movie tickets for $18. How much would 5 tickets cost?
Solution:
Cost per ticket = $18 ÷ 2 = $9
Cost for 5 tickets = 5 × $9 = $45
✅ Answer: b) $45
10. A grocery store sells 6 cans of soup for $9. What is the cost of 10 cans?
Solution:
Cost per can = $9 ÷ 6 = $1.50
Cost for 10 cans = 10 × $1.50 = $15
✅ Answer: c) $15
proportion word problems with full solutions
1. A recipe calls for 3 cups of flour to make 12 cookies.
How many cups are needed for 36 cookies?
Solution:
Set up proportion:
Cross-multiply:
✅ Answer: 9 cups
2. A smoothie recipe uses 2 bananas for 4 servings.
How many bananas are needed for 10 servings?
Solution:
✅ Answer: 5 bananas
3. It takes 5 cups of rice to serve 8 people.
How many cups are needed to serve 20 people?
Solution:
✅ Answer: 12.5 cups
4. A recipe makes 6 muffins using 2 eggs.
How many eggs are needed for 18 muffins?
Solution:
✅ Answer: 6 eggs
5. 4 tablespoons of sugar make 8 cups of lemonade.
How many tablespoons are needed for 20 cups?
Solution:
✅ Answer: 10 tablespoons
6. A cake recipe uses 1.5 cups of milk for 6 servings.
How much milk is needed for 18 servings?
Solution:
✅ Answer: 4.5 cups
7. A soup recipe needs 2.5 liters of water for 5 bowls.
How much for 8 bowls?
Solution:
✅ Answer: 4 liters
8. 6 scoops of ice cream serve 3 people.
How many scoops for 9 people?
Solution:
✅ Answer: 18 scoops
9. A batch of dough uses 4 cups of flour to make 24 rolls.
How much flour is needed for 60 rolls?
Solution:
✅ Answer: 10 cups
10. 5 liters of paint covers 15 square meters.
How much paint is needed for 45 square meters?
Solution:
✅ Answer: 15 liters
