1 nickels =$0.05 1 dime= $0.1 let the number of nickels be x and that of dimes be y. total number of coins is given by: x+y=42 hence: y=42-x.......i
total amount of cash will be: 0.05x+0.1y=3.30.........ii substituting i in ii we get: 0.05x+0.1(42-x)=3.30 0.05x+4.2-0.1x=3.3 -0.05x=-0.9 x=-0.9/(-0.05) x=18 hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24
