SOLUTION: a jar contains 120 dimes and quarters with a total value of 23.55. determine the number of each type of coin in the jar

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Question 994960: a jar contains 120 dimes and quarters with a total value of 23.55. determine the number of each type of coin in the jar
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let d be the number of dimes and q be the number of quarters
120+=+d+%2B+q
120-q+=+d
dimes are worth 10 cents, quarters are worth 25. You have a total of 2355 cents
2355+=+10%28120+-+q%29+%2B+25q
2355+=+1200+-+10q+%2B+25q
2355+=+1200+%2B+15q
1155+=+15q
77+=+q
With 77 quarters and a total of 120 coins, that leaves 43 dimes