SOLUTION: if their are 34times more nickles then dimes and 18times more pennies then dimes. how nickles do i have if their is $104.94.

Question 120058: if their are 34times more nickles then dimes and 18times more pennies then dimes. how nickles do i have if their is $104.94.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If there are 34 times more nickels than dimes
n = 34d
:
and 18 times more pennies than dimes.
p = 18d
:
.01p + .05n + .10d = 104.94
:
Substitute 34d for n and 18d + p and solve for d:
:
.01(18d) + .05(34d) + .10d = 104.94
:
.18d + 1.7d + .10d = 104.94
:
1.98d = 104.94
d =
d = 53 dimes
:
how many nickels do I have, if there is $104.94?
:
n = 34(53)
n = 1802 nickels
:
Find pennies
p = 18(53)
p = 954 pennies
:
Check solution
.10(53) + .05(1802) + .01(954) =
5.30 + 90.10 + 9.54 = 104.94; confirms our solutions
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