# Question 342de

Let there be $x$ quarters and $50 - x$ pennies in the total 50 coins collected in the piggy bank.The total being $9.62# or 962 cents. Now $x \text{ quarters"=25x" cents}$$\left(50 - x\right) \text{ pennies"=(50-x)" cents}$So we can write $x \cdot 25 + 50 - x = 962$$\implies 24 x = 962 - 50 = 912$$\implies x = \frac{912}{24} = 38\$