Question 938549: Logan saves $5.50 in dimes and quarters over a week. He has 20 more dimes than quarters. Find the number of dimes and quarters he saves . Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Logan saves $5.50 in dimes and quarters over a week. He has 20 more dimes than quarters. Find the number of dimes and quarters he saves .
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Value:: 10d + 25q = 550 cents
Quantity:: d = q + 20
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Modify::
2d + 5q = 110
2d - 2q = 40
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Subtract and solve for "q":
7q = 70
q = 10 (# of quarters)
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Solve for "d"::
d = q + 20
d = 10 + 20 = 30 (# of dimes)
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Cheers,
Stan H.
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