SOLUTION: The only coins Ms. Storgaard has are dimes and quarters. Her coins have a total value of $5.80. She has a total of 40 coins. Write a systems of equations to find the number of dime

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: The only coins Ms. Storgaard has are dimes and quarters. Her coins have a total value of $5.80. She has a total of 40 coins. Write a systems of equations to find the number of dime      Log On

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Question 878933: The only coins Ms. Storgaard has are dimes and quarters. Her coins have a total value of $5.80. She has a total of 40 coins. Write a systems of equations to find the number of dimes,d, and quarters, q.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
q + d = 40, d = +%2840-q%29
25q + 10d = 580 (Cents makes sense)
25q + 10(40-q) = 580
15q = 180
q = 12, the number of quarters. There are 28dimes. 40-12
And...
12%2A25+%2B+10%2A28+ = 580cents 0r $5.80