SOLUTION: 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 m

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
--------------------------
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
-------------------------------
(11/8)d = 114
d = 82.9
Note:: The number of dimes must be a whole number, not 82.9.
------------
How many dimes, quarters, and silver dollars does Sunita have?
------
Cheers,
Stan H.
------------
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:
RELATED QUESTIONS
Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. the (answered by drj)
Jody has a collection of 116 coins consisting of dimes, quarters, and silver dollars. The (answered by ankor@dixie-net.com)
A coin collection has 22 coins consisting of quarters and dimes. There are two more dimes (answered by lynnlo)
Determine the value of a coin collection that contains 13 pennies, 2 nickels, 4 dimes, 7... (answered by Alan3354)
a collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of... (answered by Fombitz)
A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of... (answered by MathTherapy)
A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of... (answered by jorel1380)
A coin collection has 18 coins consisting of quarters and dimes. There are two more dimes (answered by macston)
A coin collection consisting of nickels, quarters, and half dollars is worth $10.00 There (answered by stanbon)