SOLUTION: We have $4.50 in nickels, dimes and quarters. The value in cents of the quarters is one half the value in cents of the nickels and dimes together.
the number of nickels is 4 time
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the number of nickels is 4 time
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Question 215642: We have $4.50 in nickels, dimes and quarters. The value in cents of the quarters is one half the value in cents of the nickels and dimes together.
the number of nickels is 4 times the number of quarters. how many dimes are there? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! We have $4.50 in nickels, dimes and quarters. The value in cents of the quarters is one half the value in cents of the nickels and dimes together.
the number of nickels is 4 times the number of quarters. how many dimes are there?
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Equations:
Value Equation: 5n + 10d + 25q = 450 cents
Value Equation: 25q = (1/2)(5n+10d)
Quantity Equation: n = 4q
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Simplify and Rearrange the equations:
n + 2d + 5q = 90
n + 2d -10q = 0
n + 0d - 4q = 0
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I used the matrix function of my TI to get the followin:
# of nickels = 24
# of dimes = 18
# of quarters = 6
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Cheers,
Stan H.
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