SOLUTION: Please help me write an equation for this: Trisha has a bag with 32 dimes and nickels worth $2.80. How many of each coin does she have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me write an equation for this: Trisha has a bag with 32 dimes and nickels worth $2.80. How many of each coin does she have?      Log On


   



Question 833359: Please help me write an equation for this: Trisha has a bag with 32 dimes and nickels worth $2.80. How many of each coin does she have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Trisha has a bag with 32 dimes and nickels worth $2.80. How many of each coin does she have?
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Equations:
Quantity: n + d = 32 coins
Value:: 5n +10d= 280 cents
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Modify for elimination:
5n + 5d = 5*32
5n + 10d = 280
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Subtract and solve for "d":
5d = 120
d = 24 (# of dimes)
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n + d = 32
n = 32-24 = 8 (# of nickels)
Cheers,
Stan H.
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