SOLUTION: How do I solve this problem: Royce has 1.30 in dimes and quarters. he has one fourth as many quarters as dimes. How many of each does he have?

Question 390480: How do I solve this problem:
Royce has 1.30 in dimes and quarters. he has one fourth as many quarters as dimes.
How many of each does he have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Royce has 1.30 in dimes and quarters.
he has one fourth as many quarters as dimes.
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Value Equation: 10d + 25q = 130 cents
Quantity Eq:::: q = 1/4 d
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Modify:
d = 4q
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Substitute for "d" and solve for "q":
10(4q)+25q = 130
65q = 130
q = 2 (# of quarters)
----
Since d = 4q, d = 8 (# of dimes)
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Cheers,
Stan H.
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