SOLUTION: You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations to find the number x of dimes and the number y of quarters

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Question 1033010: You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations to find the number x of dimes and the number y of quarters

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations to find the number x of dimes and the number y of quarters
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q + d = 33
25q + 10d = 495

Answer by ikleyn(52908) (Show Source):
You can put this solution on YOUR website!
.
You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations
to find the number x of dimes and the number y of quarters
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Another solution is like this: Let d be the number of dimes. Then the number of quarters is (33-d). The dimes contribute 10*d cents into the total. The quarters contribute 25*(33-d). Altogether, the quarter and dimes comprise 495 cents, which gives you an equation 10*d + 25*(33-d) = 495. Simplify and solve for d: 10d + 825 - 25d = 495, or -15d = 495-825, -15d = -330, d = = 22. So, there are 22 dimes. Then the number of quarters is 33 - 22 = 11. Check. 22*10 + 11*25 = 495. OK! Answer. 22 dimes and 11 quarters.