Question 619240
let d = number of dimes
let q = number of quarters
.25 * q is the value of q number of quarters
.10 * d is the value of d number of dimes.
.25 * q + .10 * d = 1.95
d = 4 * q
.25 * q + .10 * 4 * q = 1.95
.25 * q + .4 * q = 1.95
.65 * q = 1.95
q = 3
d = 4 * q = 4 * 3 = 12
.25 * q = .25 * 3 = .75
.10 * d = .10 * 12 = 1.20
1.20 + .75 = 1.95
number of quarters is 3 and number of dimes is 12
key to solving the problem is recognizing that d = 4*q and then substituting for d to make the unknown variables q only.
solve for q and then solve for d after you have the value for q.