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Kavya's purse has 25 coins, all ₹2 or ₹5 coins, worth ₹80 in total. How many ₹5 coins are there?

Class 8Linear Equations in One VariableLinear Equations
  • A15
  • B10
  • C16
  • D12

Step-by-Step Solution

Let be the number of ₹2 coins; then there are ₹5 coins. . So ₹5 coins . (15 is the number of ₹2 coins; 16 is )
Answer: B) 10

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' = .

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