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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.

Respuesta :

Answer:

he has 4, $1 dollar bills

Step-by-step 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

Answer:

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

Explanation:

x = 1 dollar bills

y= 5 dollar bills

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

To find x now

  1. [tex]x + y(8) = 12[/tex]
  2. [tex]x + 8 = 12[/tex]
  3. [tex]x + 8 = 12\\ - 8 -8[/tex]   (minus 8 to both sides)
  4. [tex]x = 4[/tex]

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