SOLUTION: Katherine has 5 quarters and 2 nickels. Kaitlyn has the same amount of money in dimes and nickels. She has 20 coins. How many dimes and nickels does Kaitlyn have?

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Question 857274: Katherine has 5 quarters and 2 nickels. Kaitlyn has the same amount of money in dimes and nickels. She has 20 coins. How many dimes and nickels does Kaitlyn have?
Answer by lwsshak3(11628) About Me  (Show Source):
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Katherine has 5 quarters and 2 nickels. Kaitlyn has the same amount of money in dimes and nickels. She has 20 coins. How many dimes and nickels does Kaitlyn have?
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let x=number of dimes Kaitlyn has
20-x=number of nickels Kaitlyn has
..
.10x+.05(20-x)=5*.25+2*.05 (5 quarters and 2 nickels)
.10x+1-.05x=1.25+.10
.05x=.35
x=7
20-x=13
number of dimes Kaitlyn has=7
number of nickels Kaitlyn has=13