Discussion
Ayesha has only ₹ 5 and ₹ 10 coins with her. If the total number of coins she has is 25 and the amount of money with her is ₹ 160, then the number of ₹ 5 and ₹ 10 coins with her are
Answer: A
She has 18 and 7 coins of ₹ 5 and ₹ 10 respectively.
Let x be the number of ₹ 5 coins; then 25 - x are ₹ 10 coins:
\[ \begin{aligned} 5x + 10(25 - x) &= 160 \\ 250 - 5x &= 160 \\ x &= 18 \end{aligned} \]
Check: 18 × 5 + 7 × 10 = 90 + 70 = 160. The other pairs also total 25 coins but give the wrong amount: 10 and 15 make 200, 15 and 10 make 175, and 20 and 5 make 150.
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