SOLUTION: Please help me solve this word problem : Leans has $31.05 in dimes and quaters. The number of dimes is one-fifth the number of quaters. How many of each does she have?

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Question 399958: Please help me solve this word problem : Leans has $31.05 in dimes and quaters. The number of dimes is one-fifth the number of quaters. How many of each does she have?
Answer by Alan3354(69443) About Me  (Show Source):
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Leans has $31.05 in dimes and quaters. The number of dimes is one-fifth the number of quaters. How many of each does she have?
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q = # of quarters
d = # of dimes
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25q + 10d = 3105
q = 5d
Sub for q in the 1st eqn
25*5d + 10d = 3105
135d = 3105
d = 23
q = 115