Question 1114732: Sunita has a coin collection of dimes, quarters, and silver dollars. The number of quarters is 5 less then three-fourths of the number of dimes. The number of silver dollars is 7 more than five-eighths of the number of dimes. There are 116 coins in all. How many dimes, quarters, and silver dollars does Sunita have?
Found 3 solutions by stanbon, ikleyn, MathTherapy:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sunita has a coin collection of dimes, quarters, and silver dollars.
The number of quarters is 5 less then three-fourths of the number of dimes.
q = (3/4)d - 5
The number of silver dollars is 7 more than five-eighths of the number of dimes.
s = (5/8)d+7
There are 116 coins in all.
s + q + d = 116
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Substitute for "q" and "s" and solve for "d"::
(5/8)d+7 + (3/4)d - 5 + d = 116
(5/8)d+7 + (6/8)d + d = 121
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(11/8)d = 114
d = 82.9
Note:: The number of dimes must be a whole number, not 82.9.
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How many dimes, quarters, and silver dollars does Sunita have?
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Cheers,
Stan H.
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Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
Sunita has a coin collection of dimes, quarters, and silver dollars.
The number of quarters is 5 less then three-fourths of the number of dimes.
q = (3/4)d - 5
The number of silver dollars is 7 more than five-eighths of the number of dimes.
s = (5/8)d+7
There are 116 coins in all.
s + q + d = 116
Substitute for "q" and "s" and solve for "d"::
(5/8)d+7 + (3/4)d - 5 + d = 116
(5/8)d + (6/8)d + d = 116 - 7 + 5
(19/8)d = 114
d =  = 48
Then q = (3/4)d - 5 = (3/4)*48 - 5 = 36-5 = 31.
s = (5/8)d+7 = (5/8)*48 + 7 = 30 + 7 = 37.
Answer. 48 dimes, 31 quarters and 37 silver dollars.
Solved.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Sunita has a coin collection of dimes, quarters, and silver dollars. The number of quarters is 5 less then three-fourths of the number of dimes. The number of silver dollars is 7 more than five-eighths of the number of dimes. There are 116 coins in all. How many dimes, quarters, and silver dollars does Sunita have?
Pay NO ATTENTION to what the other person says.
Correct answer: 
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