Mitchell has only quarters and dimes in his piggy bank the last time he counted his money he had a total of 85 coins that equal $16.75 write a system of equations to model Mitchell's situation. Solve the system of equations to find the number of quarters and dimes

Qx + Dx = 16.75

Q = Quarters

D = Dimes

55 quarters, 30 dimes

Step-by-step explanation:

x: quarters

y: dimes

x + y = 85

0.25x + 0.10y = 16.75

Multiply first equation by 0.10 and subtract the two equations.

0.10x + 0.10y = 8.50

- (0.25x + 0.10y = 16.75)

-0.15x = - 8.25

x = 55

now plug this x-value into the first equation.

x + y = 85

55 + y = 85

y = 30