Proportion word problems with full solutions:

DOWNLOAD HERE - PDF FILE

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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proportion word problems with full solutions 

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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:
$\frac{3 \text{ cups}}{12 \text{ cookies}} = \frac{x \text{ cups}}{36 \text{ cookies}}$
Cross-multiply:
$12x = 3 × 36 = 108$
$x = \frac{108}{12} = 9$
✅ Answer: 9 cups

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2. A smoothie recipe uses 2 bananas for 4 servings.

How many bananas are needed for 10 servings?

Solution:
$\frac{2}{4} = \frac{x}{10} \Rightarrow 4x = 20 \Rightarrow x = 5$
✅ Answer: 5 bananas

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3. It takes 5 cups of rice to serve 8 people.

How many cups are needed to serve 20 people?

Solution:
$\frac{5}{8} = \frac{x}{20} \Rightarrow 8x = 100 \Rightarrow x = 12.5$
✅ Answer: 12.5 cups

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4. A recipe makes 6 muffins using 2 eggs.

How many eggs are needed for 18 muffins?

Solution:
$\frac{2}{6} = \frac{x}{18} \Rightarrow 6x = 36 \Rightarrow x = 6$
✅ Answer: 6 eggs

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5. 4 tablespoons of sugar make 8 cups of lemonade.

How many tablespoons are needed for 20 cups?

Solution:
$\frac{4}{8} = \frac{x}{20} \Rightarrow 8x = 80 \Rightarrow x = 10$
✅ Answer: 10 tablespoons

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6. A cake recipe uses 1.5 cups of milk for 6 servings.

How much milk is needed for 18 servings?

Solution:
$\frac{1.5}{6} = \frac{x}{18} \Rightarrow 6x = 27 \Rightarrow x = 4.5$
✅ Answer: 4.5 cups

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7. A soup recipe needs 2.5 liters of water for 5 bowls.

How much for 8 bowls?

Solution:
$\frac{2.5}{5} = \frac{x}{8} \Rightarrow 5x = 20 \Rightarrow x = 4$
✅ Answer: 4 liters

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8. 6 scoops of ice cream serve 3 people.

How many scoops for 9 people?

Solution:
$\frac{6}{3} = \frac{x}{9} \Rightarrow 3x = 54 \Rightarrow x = 18$
✅ Answer: 18 scoops

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9. A batch of dough uses 4 cups of flour to make 24 rolls.

How much flour is needed for 60 rolls?

Solution:
$\frac{4}{24} = \frac{x}{60} \Rightarrow 24x = 240 \Rightarrow x = 10$
✅ Answer: 10 cups

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10. 5 liters of paint covers 15 square meters.

How much paint is needed for 45 square meters?

Solution:
$\frac{5}{15} = \frac{x}{45} \Rightarrow 15x = 225 \Rightarrow x = 15$
✅ Answer: 15 liters

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