SOLUTION: There are 136 coins in the cash box. There are an equal number of silver dollars and quarters. There are half as many dimes as quarters and one third as many nickels. How much i

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: There are 136 coins in the cash box. There are an equal number of silver dollars and quarters. There are half as many dimes as quarters and one third as many nickels. How much i      Log On


   

Question 647427: There are 136 coins in the cash box. There are an equal number of silver dollars and quarters. There are half as many dimes as quarters and one third as many nickels. How much is in the cash box?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
There are 136 coins in the cash box.
There are an equal number of silver dollars and quarters.
There are half as many dimes as quarters and one third as many nickels.
How much is in the cash box?
:
n + d + q + c = 136 (c = no. of silver dollars)
:
"There are an equal number of silver dollars and quarters."
q = c
:
" There are half as many dimes as quarters"
d = 1%2F2q
or
q = 2d
:
"and one third as many nickels."
d = 1%2F3n
or
n = 3d
:
n + d + q + c = 136
replace n with 3d, q with 2d, c with 2d
3d + d + 2d + 2d = 136
8d = 136
d = 136/8
d = 17 dimes
then
n = 3(17) = 51 nickels
and
q = 2(17) = 34 quarters
and
c = 2(17) = 34 dollars
:
.05(51) + .10(17) + .25(34) + 1(34) =
2.55 + 1.70 + 8.50 + 34 = $46.75 in the cash box