- A16
- B12
- C8
- D24
Step-by-Step Solution
Let there be coins of ₹2, so there are coins of ₹5. Value: → → → . Check: . The trap 16 counts the ₹5 coins and 24 is the total number of coins — only the ₹2 coins were asked for.
Answer: C) 8
A piggy bank holds only ₹2 and ₹5 coins, and the number of ₹5 coins is twice the number of ₹2 coins. The coins are worth ₹96 altogether. How many ₹2 coins are there?
Class 8Linear Equations in One VariableLinear Equations
Key idea: Translating word problems
Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**
Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**
Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .
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