Question

A collection of 108 coins containing only quarters and nickels is worth $21 wich value could replace q on the chart?

Answer 1

There would be 30 nickels and 78 quarters.

Explanation:

Answer 2

There would be 30 nickels and 78 quarters.

Explanation:

To find this, start by creating a system of equations in which x is the number of nickels and y is the number of quarters. Make the first equation the total number of coins.

x + y = 108

Make the second equation based on the value.

.05x + .25y = 21

Now multiply the second equation by -4 and add together to get the y value to cancel.

x + y = 108

-.2x - y = -84

--------------------

.8x = 24

x = 30

Now use this value to find y.

x + y = 108

30 + y = 108

y = 78