Question

Steve has $44 in his pocket but he only has $1 and $5 bills. Write and solve a system of equations to determine how many $1 bills Steve has if he has a total of 12 bills.

Answer 1

Steve has 4, $1 bills, and 8, $5 Bills

Explanation:

x = 1 dollar bills

y= 5 dollar bills

1. 
   `1x+5y=44\\x+y=12`
2. 
   `1x+5y=4 \\ x+y=12` (you are going to cancel out the x's because they are the same numer)
3. 
   `5y=44\\y=12`
4. 
   `4y = 32`
5. 
   `y = 8`

To find x now

1. 
   `x + y(8) = 12`
2. 
   `x + 8 = 12`
3. 
   `x + 8 = 12\\ - 8 -8` (minus 8 to both sides)
4. 
   `x = 4`

Answer 2

he has 4, $1 dollar bills

Explanation:

if you multiply 5 by 8 you get $40, then you add 4 $1 bills and you get

$44, if you add 8 and 4 you get 12 bills