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There are 132 more silver dollars than 50-cent pieces . THE ratio of silver dollers to 50-cent pieces is 5:2. How many of each type of coin are there?

2007-09-20 15:56:50 · 1 answers · asked by J.D 1 in Science & Mathematics Mathematics

1 answers

Set up the equation.
S = the number of Silver dollars
F = the number of 50-cent pieces

S = 132 + F
The ratio is 5:2, so S/F = 5/2. We can also write this as S = 5/2 times F.

So, we substitute S with 5/2 F, because they're equal.

So S = 132 + F becomes
5/2 F = 132 + F.
Then, multiply both sides of the equation by 2.
5F = 264 + 2F.
Subtract 2F from both sides.
3F = 264
Divide 264 by 3 and you have the number of Fifty cent pieces.

Add 132 and you have the number of Silver dollars.

2007-09-20 16:12:18 · answer #1 · answered by Gone Galt 4 · 0 0

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