Michael has $1.95 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the number of quarters. how many quarters and nickels does Michael have?

1 nickel=$0.05

1 quarter=$0.25

let the number of quarters be x, the number of nickels will be 3+x

thus:

0.05 (3+x) + 0.25x=1.95

0.05x+0.15+0.25x=1.95

0.30x=1.8

x=6

thus the number of quarters is 6

the number of nickels=6+3=9