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Linear-Equations-in-One-Variable-Word-Problems-Workbook-3 - Free Printable

Linear-Equations-in-One-Variable-Word-Problems-Workbook-3

Educational worksheet: Linear-Equations-in-One-Variable-Word-Problems-Workbook-3. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Linear-Equations-in-One-Variable-Word-Problems-Workbook-3
Let’s solve each problem one by one. We’ll use simple ratios or proportions — that means if something costs a certain amount for a number of items, we can find out how many you get for less (or more) money by comparing the amounts.

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(1) Geeta bought 6 bananas for Rs. 14. How many bananas can Sunita buy with Rs. 7?

→ Rs. 7 is half of Rs. 14 → So she can buy half as many bananas → Half of 6 is 3.

Answer: 3

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(2) A frame is 18 in wide and 6 in tall. If reduced to height of 1 in, how wide will it be?

→ Original ratio: width : height = 18 : 6 = 3 : 1
→ So if height becomes 1, width becomes 3.

Answer: 3 inches

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(3) Rectangle is 1 in tall and 2 in wide. Enlarged to width of 6 in — how tall?

→ Original ratio: height : width = 1 : 2
→ New width = 6 → which is 3 times bigger than 2 → so height also ×3 → 1×3 = 3

Answer: 3 inches

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(4) Triangle is 16 in tall and 8 in wide. Reduced to width of 2 in — how tall?

→ Original ratio: height : width = 16 : 8 = 2 : 1
→ New width = 2 → so height = 2 × 2 = 4

Wait — let’s check:
If width goes from 8 to 2 → that’s ÷4 → so height also ÷4 → 16 ÷ 4 = 4

Answer: 4 inches

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(5) Exchange rate: $1 = 2 Pa’anga. How many Pa’anga for $10?

→ $1 → 2 Pa’anga
→ $10 → 10 × 2 = 20

Answer: 20 Pa’anga

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(6) $1 = 4 Riyals. How many dollars for 20 Riyals?

→ 4 Riyals = $1
→ 20 Riyals = 20 ÷ 4 = $5

Answer: $5

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(7) 3 Zlotych = $1. How many dollars for 15 Zlotych?

→ 3 Zlotych → $1
→ 15 Zlotych → 15 ÷ 3 = $5

Answer: $5

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(8) 1 Dinar = $4. How many Dinars for $64?

→ $4 → 1 Dinar
→ $64 → 64 ÷ 4 = 16

Answer: 16 Dinars

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(9) 6 bulbs of garlic for Rs. 12. How many for Rs. 6?

→ Rs. 6 is half of Rs. 12 → so half the bulbs → 6 ÷ 2 = 3

Answer: 3 bulbs

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(10) Deepu bought 1 watermelon for Rs. 20. Jill has Rs. 40 — how many can she buy?

→ Rs. 40 is double Rs. 20 → so she can buy double → 1 × 2 = 2

Answer: 2 watermelons

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Final Answer:
(1) 3
(2) 3 inches
(3) 3 inches
(4) 4 inches
(5) 20 Pa’anga
(6) $5
(7) $5
(8) 16 Dinars
(9) 3 bulbs
(10) 2 watermelons
Parent Tip: Review the logic above to help your child master the concept of linear word problems worksheet.
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