SOLUTION: christa is a waitress and collects her tips at the table. at the end she has 68 bills in her tip wallet, all ones and fives. if total value of tip is $172 how many of each bill doe

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Question 976845: christa is a waitress and collects her tips at the table. at the end she has 68 bills in her tip wallet, all ones and fives. if total value of tip is $172 how many of each bill does she have?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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christa is a waitress and collects her tips at the table.
at the end she has 68 bills in her tip wallet, all ones and fives.
if total value of tip is $172 how many of each bill does she have?
:
let x = no. of $1 bills
let y = no. of $5 bills
:
Total no. of bills equation
x + y = 68
Total value equation
1x + 5y = 172
:
We can use elimination here, subtract the 1st equation from the 2nd equation
x + 5y =172
x + y = 68
---------------Subtraction eliminates x, find y
0 + 4y = 104
y = 104/4
y = 26 ea $5 bills
:
Find x
x + 26 = 68
x = 68 - 26
x - 42 ea $1 bills
:
:
Check our solutions in the 2nd equaton
42(1) + 26(5) =
42 + 130 = 172; confirms our solutions