a news carrier has $7.00 in change he has 8 more quarters than dimes and five times as many nickels than quarters.how many coins of each type does he have ?

Answer 1

q = d+8
n = 5q
5n+10d+25q = 700

Now just plug and play!

Answer 2

let's start with dimes ---- x
then quarters ---- x+8
nickels ------- 5(x+8)

now to the VALUE of these

10x + 25(x+8) + 5(5)(x+8) = 700
10x + 25x + 200 + 25x + 200 = 700
60x = 300
x = 5
so

5 dimes
13 quarters
65 nickels

check:
5(10) + 13(25) + 65(5) = 700
my answer is correct