SOLUTION: One a man deposited 225 pesos in a bank. if his deposit consisted of 29 peso bills consisting of 5 peso bills and 10 peso bills. how many of each kind?

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Question 699148: One a man deposited 225 pesos in a bank. if his deposit consisted of 29 peso bills consisting of 5 peso bills and 10 peso bills. how many of each kind?

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The Set Up:
Let A = # of 5 peso bills
Let B = # of 10 peso bills.
Equation 1: A+%2B+B+=+29
Equation 2: 5A+%2B+10B+=+225
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Solution:
Solve equation 1 for one of the variables.
Equation 1: A+%2B+B+=+29
A+=+29+-+B
Now plug (29 - B) into equation 2 for A
Equation 2: 5A+%2B+10B+=+225
5%2A%2829+-+B%29+%2B+10B+=+225
Simplify
145+-+5B+%2B+10B+=+225
Combine like terms
145+%2B+5B+=+225
Subtract 145 from both sides
5B+=+80
Divide both sides by 5
highlight%28B+=+16%29
Now solve plug 16 into equation 1 for B and solve for A
A+=+29+-+B
A+=+29+-+%2816%29
highlight_green%28A+=+13%29