SOLUTION: Bill has 29 coins whose value is $4.35. He has four more nickels than dimes, and the rest of his coins are quarters. How many of each kind of coins does he have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Bill has 29 coins whose value is $4.35. He has four more nickels than dimes, and the rest of his coins are quarters. How many of each kind of coins does he have?      Log On

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Question 1074563: Bill has 29 coins whose value is $4.35. He has four more nickels than dimes, and the rest of his coins are quarters. How many of each kind of coins does he have?
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
system%28n%2Bd%2Bq=29%2C0.05n%2B0.1d%2B0.25q=4.35%2Cn-d=4%29

system%28n%2Bd%2Bq=29%2Cn%2B2d%2B5q=87%2Cn=d%2B4%29


Substitute for n.
-
2d%2Bq=29-4
2d%2Bq=25
-
d%2B4%2B2d%2B5q=87
3d%2B5q=83
-

Simpler system in just d and q,
system%282d%2Bq=25%2C3d%2B5q=83%29

Substitute for q;
3d%2B5%2825-2d%29=83
3d%2B125-10d=83
-7d=83-125
7d=125-83
7d=42
highlight%28d=6%29

-
highlight%28n=10%29


q=29-16
highlight%28q=13%29

CHECK
6%2A0.1%2B10%2A0.05%2B13%2A0.25
0.6%2B0.5%2B3.25
1.1%2B3.25
4.35 yes