Question

The piggy bank has 71 dimes and quarters with a

value of 12.35 dollars. How many of each coin are there

Answer 1

There are 35 quarters and 36 dimes.

Step-by-step explanation

x = the number of quarters

y = the number of dimes

x + y = 71

0.25x + 0.1y = 12.35 ---> multiply this equation by 100

now...

25x + 10y = 1235

x + y = 71 ----> multiply this equation by -25

25x + 10y = 1235

-25x - 25y = -1775

`(-15)/(-15) = (-540)/(-15)`

y = 36 dimes

next step

x + y = 71

x + 36 = 71

- 36 - 36

x = 35 quarters

Answer 2

35 Quarters and 36 Dimes

Explanation:

d + q = 71

10 + 25 = 1235

10 x 36 = 360

25 x 35 = 875

360 + 875 = 1235