Here is the step-by-step solution to each problem on
Worksheet-8: Algebraic Equations.
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(1) Malini won 55 super bouncy balls...
> She started with 55, ended with 35. How many did she give away?
Equation:
Let \( x \) = number of balls given away
\( 55 - x = 35 \)
Solve:
\( x = 55 - 35 = 20 \)
✔ Answer: (B) 20
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(2) How old is Vikram if he was 12 years old thirteen years ago?
> Age now = age then + years passed
Equation:
Let \( x \) = current age
\( x = 12 + 13 = 25 \)
✔ Answer: (A) 25
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(3) Arnav paid Rs. 3 for a pizza. He now has Rs. 10. How much did he have before?
> Money before = money after + cost
Equation:
Let \( x \) = money before
\( x - 3 = 10 \) → \( x = 10 + 3 = 13 \)
✔ Answer: (C) Rs. 13
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(4) Find the price of one candy bar if seven candy bars cost Rs. 35.
> Price per candy bar = total cost ÷ number of bars
Equation:
Let \( x \) = price of one candy bar
\( 7x = 35 \) → \( x = 35 ÷ 7 = 5 \)
✔ Answer: (C) Rs. 5
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(5) Nikit wants to buy a lizard for Rs. 15. He gives Rs. 20. What is his change?
> Change = amount given – cost
Equation:
Change = \( 20 - 15 = 5 \)
✔ Answer: (B) Rs. 5
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(6) Sixteen years ago, Rahul was 71 years old. How old is he now?
> Current age = past age + years passed
Equation:
Current age = \( 71 + 16 = 87 \)
✔ Answer: (A) 87
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(7) Alok spent Rs. 14 on seven candy bars. How much did each cost?
> Cost per bar = total spent ÷ number of bars
Equation:
Let \( x \) = cost per bar
\( 7x = 14 \) → \( x = 14 ÷ 7 = 2 \)
✔ Answer: (C) Rs. 2
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(8) Tissues cost Rs. 5 / box. How many boxes did Nikki buy if she spent Rs. 15?
> Number of boxes = total spent ÷ price per box
Equation:
Let \( x \) = number of boxes
\( 5x = 15 \) → \( x = 15 ÷ 5 = 3 \)
✔ Answer: (C) 3
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(9) How many boxes of tissues can you buy with Rs. 21 if one box costs Rs. 3?
> Number of boxes = total money ÷ price per box
Equation:
Let \( x \) = number of boxes
\( 3x = 21 \) → \( x = 21 ÷ 3 = 7 \)
✔ Answer: (B) 7
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✔ Final Answers:
| Question | Answer |
|----------|--------|
| (1) | B |
| (2) | A |
| (3) | C |
| (4) | C |
| (5) | B |
| (6) | A |
| (7) | C |
| (8) | C |
| (9) | B |
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Parent Tip: Review the logic above to help your child master the concept of math expressions grade 6 worksheet.
