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 80 coins with a value of $16.25 inside of the bank.

The equations

The solution

55 dimes and 25 quarters

Step-by-step explanation:

Given

Let

quarters

dimes

Required

Set up a system of equation to calculate the number of each coin

The total coin of 80 implies that:

A dime = $0.1

A quarter = $0.25

So, the worth of the coin is:

So, the equations are:

Next, solve for x and y

Multiply the second equation by 4

by 4

Subtract from

Solve for y

We have:

Hence, there are 55 dimes and 25 quarters

answer: 4

step-by-step explanation: