Question 154010
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
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Write an equation for each statement:
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"Joe has a collection of nickels and dimes that is worth $5.65."
.05n + .10d = 5.65
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" If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. "
.05(n+8) + .10(2d) = 10.45
simplify
.05n + .4 + .20d = 10.45
.05n + .20d = 10.45 - .40
.05n + .20d = 10.05
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Now subtract the 1st equation from the above equation and eliminate n, find d
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