A waiter made a deposit of $205. If his deposit consisted of 61 bills, some of them one-dollar bills and the rest five-dollar bills, how many one-dollar bills did he deposit?

Respuesta :

Answer:

36 five dollar bills

25 one dollar bills

Step-by-step explanation:

x represents 5 dollar bill and y represents 1 dollar bill.

We can then create the following equations to help us

[tex]205 = 5x + y[/tex]

[tex]61 = x + y[/tex]

We then isolate for y in the first equation and plug into second equation as shown below

[tex]61 = (205 - 5x) + x[/tex]

x = 36

We then plug x into second equation to get y

61 = 36 + y

y = 25