SOLUTION: A person has Quarters dimes and nickels that are equal to $5.00 The number of nickels is twice the amount of quarters, and 4 less dimes than quarters.How many of each coin does he

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Question 668646: A person has Quarters dimes and nickels that are equal to $5.00
The number of nickels is twice the amount of quarters, and 4 less dimes than quarters.How many of each coin does he/she have
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Establish variables
x = quarters
y = dimes
z = nickels
...
Given
.25x + .1y + .05z = 5
z = 2x
y = x - 4
...
Solve for x first
.25x + .1(x-4) + .05(2x) = 5
Distribute
.25x + .1x - .4 + .1x = 5
Combine like terms
.45x = 5 + .4
.45x = 5.4
highlight_green%28x+=+12%29 quarters
...
z = 2x = 2(12) = highlight_green%28z+=+24%29 nickels
...
y = 12-4 = highlight_green%28y+=+8%29 dimes
...
Check
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