Question 1126289
n + d + q = 500
The number of quarters is twice the number of dimes:
n + d + q = 500
n + 3d = 500
n = 500 - 3d
so now we have that:
0.10d + 0.25(2d) + 0.05(500 - 3d) = 88
0.10d + 0.50d + 25 - 0.15d = 88
0.45d = 63
d = 140
There are 140 dimes and the quarters are twice as many: 140 x 2 = 280 there are 280 quarters and the nickels are 500-3d = 500 - (3 x 140) = 80
So we have:
n = 80
d = 140
q = 280
check:
0.05(80) + 0.10(140) + 0.25(280) = 88 Correct