SOLUTION: Neil has 24 dimes and quarters worth $3.60. How many quarters does Neil have?

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Question 507859: Neil has 24 dimes and quarters worth $3.60. How many quarters does Neil have?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
d = number of dimes
10d = value of the dimes in cents
q = number of quarters
25q = value of the quarters in cents
.
d + q = 24
so
d = 24-q
.
10d +25q = 360 cents
.
substitute for 'd'
.
10(24-q) +25q = 360
.
240 -10q +25q = 360
.
15q = 120
.
q = 8
.
substitute this value to find 'q'
.
d = 24-q
.
d = 16
.
Always check your solution to see if it is the answer.
.
25(8) = 200
10(16) = 160
200 +160 = 360
OK
.
So, he has 16 dimes and 8 quarters.
.
Done.