SOLUTION: The total value or the $5 bills and $10 bills in a cash box is $410. There are eight more $10 bills than $5 bills. How many of each are there? Everything I tried, failed. Please

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Question 216266: The total value or the $5 bills and $10 bills in a cash box is $410. There are eight more $10 bills than $5 bills. How many of each are there?
Everything I tried, failed. Please help me!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The total value or the $5 bills and $10 bills in a cash box is $410. There are eight more $10 bills than $5 bills. How many of each are there?
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Equations:
Value Equation: 5f + 10t = 410 dollars
Quantity Equation: t = f + 8
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Substitute for "t" in the Value Equation to solve for "f":
5f + 10(f+8) = 410
15f + 80 = 410
15f = 330
f = 22 (# of five dollar bills)
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Since t = f+8,
t = 22+8 = 30 (# of ten dollar bills)
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Cheers,
Stan H.