Question

A collection of dimes and nickels is worth $6.60. There are 96 coins in all.

How many of each coin are there

__dimes

__nickels

Answer 1

x - dimes
y - nickels


`0.1x+0.05y=6.6\\ x+y=96\\\\ 0.1x+0.05y=6.6\\ x=96-y\\\\ 0.1(96-y)+0.05y=6.6\\ 9.6-0.1y+0.05y=6.6\\ -0.05y=-3\\ y=60\\\\ x=96-60\\ x=36`

36 dimes and 60 nickels.