SOLUTION: Rosetta was paid 11.45 for babysitting the O'Connells. Mrs.O paid Rosetta in quarters and dimes. The of quarters she recieved was five more than twice the number of dimes. How many

Question 170809: Rosetta was paid 11.45 for babysitting the O'Connells. Mrs.O paid Rosetta in quarters and dimes. The of quarters she recieved was five more than twice the number of dimes. How many of each coin did Rosetta receive?
Found 2 solutions by Mathtut, stanbon:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the # of quarters and dimes , q and d respectively.
:
.25q+.1d=11.45....eq 1
:
q=2d+5............eq 2
:
take q's value from eq 2 and plug it in eq 1
:
.25(2d+5)+.1d=11.45
:
.5d+1.25+.1d=11.45
:
.6d=10.20
:
dimes
quarters
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Rosetta was paid 11.45 for babysitting the O'Connells. Mrs.O paid Rosetta in quarters and dimes. The # of quarters she recieved was five more than twice the number of dimes. How many of each coin did Rosetta receive?
---------------
Quantity Equation: q = 2d + 5
Vale EQUATION: 25q + 10d = 1145 cents
----------------------------------------
Rearrange:
25q - 50d = 125
25q + 10d = 1145
-----------------------
Subtract 1st from 2nd to get:
60d = 1020
d = 17 (# of dimes)
----------------------
Solve for q: q = 2*17+5 = 39 (# of quarters)
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Cheers,
Stan H.
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