Question

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each type of coin does he have?

Answer 1

he had 17 nickles and 32 quarters

Explanation:

Answer 2

17 nickels, 32 quarters

Explanation:

n + q = 49

.05n + .25q = 8.85

Multiply the 2nd equation x 4 to make the q's the same amount

4(.05n + .25q = 8.85)

0.2n + q = 35.4

Now subtract the first equation

n + q = 49

- .2n + q = 35.4

.8n = 13.6

n = 17 There are 17 nickels

n + q = 49, so 17 + q = 49

q = 32