Question

someone has only quarters and dimes in his piggy bank. He has 152 coins in the piggy bank with the value of $30.50. Determine the system of equations that model this problem. Solve the system. How many quarters and dimes does Everett have

Answer 1

102 quarters

50 dimes

Explanation:

y = dimes

x = quarters

We can use the following equations to solve

`152 = x + y`

`30.5 = .25x + .10y`

We isolate for y in the first equation

`y = 152 - x`

We plug into second equation

`30.5 = .25x + .10(152 - x)`

Reduce

.15x = 15.3

x = 102

We then plug this number in first equation

152 = 102 + y

y = 50