A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?

Question

anonymous · Answer

ok so far i have 1,000 = 10 dollars in cents.

anonymous · Answer

im beng too lazy!

secret-ninja · Answer

x = nickels
x + 9 = dimes
(x + 9) + 21 = quarters
0.05x + 0.10(x + 9) + 0.25(x + 30) = 10.00
5x + 10(x + 9) + 25(x + 30) = 1000
5x + 10x + 90 + 25x + 750 = 1000
40x + 840 = 1000
40x = 160
.x = 6 nickels
x + 9 = 15 dimes
x + 30 = 36 quarters 
So x = 6 nickels.