SOLUTION: Janice has 16 coins in her purse. Some of the coins are dimes, some are quarters. The total is $2.65. Write a system of equations to solve how many quarters and dimes are in Janice
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Question 736495: Janice has 16 coins in her purse. Some of the coins are dimes, some are quarters. The total is $2.65. Write a system of equations to solve how many quarters and dimes are in Janice's purse.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Janice has 16 coins in her purse. Some of the coins are dimes, some are quarters. The total is $2.65. Write a system of equations to solve how many quarters and dimes are in Janice's ion:
purse.
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Equations:
Quantity: d + q = 16 coins
Value:: 10d+25q = 265 cents
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Modify for elimination:
10d + 10q = 10*16
10d + 25q = 265
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Subtract and solve for "q":
15q = 105
q = 7 (# of quarters)
Solve for "d":
d = 16-7 = 9 (# of dimes)
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Cheers,
Stan H.
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