Question

Write a system of equations and solve:

Alana wanted to stock up on drinks for an upcoming party. First,
she spent $32 on 7 cases of juice and 9 cases of soda, which is all
the store had in stock. A few days later, she returned to the store
and purchased an additional 7 cases of juice and 11 cases of
soda, spending a total of $36. What is the price of each drink?

HELP ME PLEASEEEEEE EXTEA POINTS PLESP FOR 8th GRADERS IR HIGHER PLES HELP ME!!!!! ASAP

Answer 1

Let x represent cases of juice and y case of soda

7x + 9y = 32………(1)
7x + 11y= 36………(2)

Subtract (1) from (2)
0+ 2y -= 4
2y/2 = 4/2

y = 2


Put y In equation (1)
7x + 9(2) = 32
7x + 18 = 32
7x = 32- 18
7x = 14
7x/7 = 14/7
x = 2

So x=2 , y = 2

So each drink cost $2