SOLUTION: The value of a number of dimes and quarters is $2.05. If the quarters were replaced by nickels, the value would be $1.05. Find the number of eachcoin
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Question 1002780: The value of a number of dimes and quarters is $2.05. If the quarters were replaced by nickels, the value would be $1.05. Find the number of eachcoin Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
The value of a number of dimes and quarters is $2.05. If the quarters were replaced by nickels, the value would be $1.05. Find the number of each coin
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Let d = # of dimes and
q = # of quarters.
Then you have a system of 2 equations in 2 unknowns
10d + 25q = 205,
10d + 5q = 105.
Distract the second equation from the first one. You will get
20q = 100. Hence, q = 5.
Then d = = 8.
Answer. q = 5, d = 8.
You can put this solution on YOUR website!
The value of a number of dimes and quarters is $2.05. If the quarters were replaced by nickels, the value would be $1.05. Find the number of eachcoin