Question

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.

Answer 1

Answer: There are 57 quarters and 33 dimes.

Explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90 (i)

0.25x+0.10y= 17.55 (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5 (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒ y= 90-57

⇒ y= 33

Hence, there are 57 quarters and 33 dimes.