SOLUTION: Patty had four times as many quarters as nickles she had $12.60 in all. How many nickles and how many quarters did she have ?

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Question 1026496: Patty had four times as many quarters as nickles she had $12.60 in all. How many nickles and how many quarters did she have ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of nickels she had
Let +b+ = number of quarters she had
---------------
(1) +b+=+4a+
( in cents )
(2) +5a+%2B+25b+=+1260+
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(2) +a+%2B+5b+=+252+
Substitute (1) into (2)
(2) +5a+%2B+25%2A%28+4a+%29+=+1260+
(2) +5a+%2B+100a+=+1260+
(2) +105a+=+1260+
(2) +a+=+12+
and
(1) +b+=+4a+
(1) +b+=+4%2A12+
(1) +b+=+48+
She has 12 nickels
She has 48 quarters
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check:
(2) +5a+%2B+25b+=+1260+
(2) +5%2A12+%2B+25%2A48+=+1260+
(2) +60+%2B+1200+=+1260+
OK