I'll solve each proportion problem step by step, working through all calculations carefully.
Problem 1: 6 pencils costs 36 cents. How much do 2 pencils cost?
- First find the cost of 1 pencil: 36 ÷ 6 = 6 cents per pencil
- Then multiply by 2: 6 × 2 = 12 cents
- Answer: B (12)
Problem 2: 8 sweets cost 72 cents. How much do 6 sweets cost?
- First find the cost of 1 sweet: 72 ÷ 8 = 9 cents per sweet
- Then multiply by 6: 9 × 6 = 54 cents
- Answer: D (54)
Problem 3: If four ice creams cost $3.20, what would 8 ice cream cost?
- First find the cost of 1 ice cream: $3.20 ÷ 4 = $0.80 per ice cream
- Then multiply by 8: $0.80 × 8 = $6.40
- Answer: C ($6.40)
Problem 4: Three bags of rice weigh 90 kgs. How much do 9 bags weigh?
- First find the weight of 1 bag: 90 ÷ 3 = 30 kg per bag
- Then multiply by 9: 30 × 9 = 270 kg
- Answer: B (270 kg)
Problem 5: Six movie tickets cost $240. How much do 2 movie tickets cost?
- First find the cost of 1 ticket: $240 ÷ 6 = $40 per ticket
- Then multiply by 2: $40 × 2 = $80
- Answer: A ($80)
Problem 6: Five apples cost 80 cents. Find the cost of 20 apples.
- First find the cost of 1 apple: 80 ÷ 5 = 16 cents per apple
- Then multiply by 20: 16 × 20 = 320 cents = $3.20
- Answer: A ($3.20)
Problem 7: 7 soccer balls cost $630. How much do 14 soccer balls cost?
- First find the cost of 1 ball: $630 ÷ 7 = $90 per ball
- Then multiply by 14: $90 × 14 = $1,260
- Let me verify: 90 × 14 = 90 × 10 + 90 × 4 = 900 + 360 = 1,260 ✓
- Note: This answer isn't shown in the visible options, but this is the correct calculation.
Let me double-check my work on all problems to ensure accuracy before providing final answers.
All calculations verified and correct!
Final Answer:
1. B (12)
2. D (54)
3. C ($6.40)
4. B (270 kg)
5. A ($80)
6. A ($3.20)
7. $1,260
Parent Tip: Review the logic above to help your child master the concept of proportions word problems worksheet 7th grade.