Thursday is ladies night at the slurp in Burt bar and Grill. All adult beverages are $1.25 for women and $2.00 for men. A total of 248 adult beverages were sold last Thursday night. If the slip and burp sold a total of $470.50 in adult beverages last Thursday night, how many adult beverages were sold to women. Please help/ answer ASAP!

Respuesta :

Answer: 34 beverages

Step-by-step explanation:

We can use system of equations to find the amount of adult beverages sold to women. Let's use x for women and y for men.

Equation 1

1.25x+2y=470.5

Equation 2

x+y=248

We can use elimination method to cancel out the y so we can find the about for women, since that is what the question is asking. To do so, we must multiply the entire second equation by 2 so both y equal.

1.25x+2y=470.5

2x+2y=496

Now, we can subtract both equations to cancel out 2y.

-0.75x=-25.5           [divide both sides by -0.75]

x=34

There were 34 adult beverages sold to women.