SOLUTION: Kim has $210 in $5 bills and $20 bills. She has a total of 24 bills. How many $5 bills and how many $20 bills does she have? Please show me the step by step solution. Thanks!

Question 124107: Kim has $210 in $5 bills and $20 bills. She has a total of 24 bills. How many $5 bills and how many $20 bills does she have?
Please show me the step by step solution. Thanks!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Kim has $210 in $5 bills and $20 bills. She has a total of 24 bills. How many $5 bills and how many $20 bills does she have?
:
Let x = no. of $5 bills
Let y = no. of $20 bills
:
Write an equation for each statement:
"Kim has $210 in $5 bills and $20 bills."
5x + 20y = 210
:
"She has a total of 24 bills."
x + y = 24
x = (24 - y) subtracted y from both sides, we are going to use this for substitution in the 1st equation
:
How many $5 bills and how many $20 bills does she have?
:
Using this equation; 5x + 20y = 210, substitute (24-y) for x, solve for y
:
5(24-y) + 20y = 210
:
120 - 5y + 20y = 210; multiplied what's inside the brackets
:
-5y + 20y = 210 - 120; subtracted 120 from both sides
:
15y = 90
y = ; divided both sides by 15
y = 6 ea $20 bills
:
We know x = 24 - y; substitute 6 for y
x = 24 - 6
x = 18 ea $5 bills
:
:
Check our solution in the $equation
18(5) + 6(20) =
90 + 120 = 210; confirms our solution
:
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