Question 161472
Let d = number of dimes
and q = number of quarters
.
From "Moolah has 27 coins" we get equation 1:
d+q = 27
.
From "The value of th coins is $4.35" we get equation 2:
.10d + .25q = 4.35
.
Solving equation 1 for d:
d+q = 27
d = 27-q
.
Substitute the above into equation 2 and solve for q:
.10d + .25q = 4.35
.10(27-q) + .25q = 4.35
2.7 - .10q + .25q = 4.35
.15q = 1.65
q = 11 (number of quarters)
.
Substitute the above back into equation 1 and solve fo d:
d+q = 27
d+11 = 27
d = 16 (number of dimes)