kaylamuffina
contestada

A group of family went to the store and bought burgers. The first family bought 4 hamburger and 3 cheeseburger for $31. The second family bought 3 hamburger and 2 cheeseburger for $22. What is the price for each. Let O be the price of hamburger and P be cheeseburger.

Respuesta :

4 hamburgers + 3 cheeseburgers = $31 --------------------- (1)
3 hamburgers + 2 cheeseburgers = $22 --------------------- (2)

(1) x 3 : 12 hamburgers + 9 cheeseburgers = $93 --------------------- (1a)
(2) x 4 : 12 hamburgers + 8 cheeseburgers = $88 --------------------- (2a)

(2a) - (1a) :1 cheeseburger = $5 --------------------- sub into equation (1)

4 hamburgers + 3 ($5) = $31 
4 hamburgers + $15 = $31 
4 hamburgers + $15 = $31 
4 hamburgers = $16

1 hamburger = $16 ÷ 4 
1 hamburger = $4

Answer : 1 hamburger = $4 and 1 cheeseburger = $5