SOLUTION: Bruce has $10 in nickels and quarters. The number of nickels is 24 less than twice the number of quarters. How many of each does he have?

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Question 1153095: Bruce has $10 in nickels and quarters. The number of nickels is 24 less than twice the number of quarters. How many of each does he have?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let nickels be n and quarters q
n=$0.05
q=$0.25
if Bruce has $10 in nickels and quarters, we have
0.05n%2B0.25q=10.........eq.1
if the number of nickels is 24 less than twice the number of quarters, we have
n=2q-24......eq.2
substitute in eq.1
0.05%282q-24%29%2B0.25q=10.........eq.1, solve for q
0.10q-1.2%2B0.25q=10
0.35q=10%2B1.2
0.35q=11.2
q=11.2%2F0.35
q=32
go to
n=2q-24......eq.2, substitute q
n=2%2A32-24
n=64-24
n=40
Bruce has 32 quarters and 40 nickels