Question

Jackie goes to the mall every weekend with her friends. Last week, the group spent $28.00 on 2 salads and 4 fruit smoothies. This week, the group spent $38.00 on 3 salads and 5 fruit smoothies. Let x represent the cost of a salad and let y represent the cost of a smoothie. 2x + 4y = 28 3x + 5y = 38 If you multiply the first equation by –3, what could you multiply the second equation by to eliminate the x-variable when adding the equations? What is the cost of a salad? What is the cost of a smoothie?

Answer 1

Answer:

Salad(x)=6, smoothie(y)=4

Step-by-step explanation:

Salad=x

Smoothie=y

2x+4y=28 (1)

3x+5y=38 (2)

To eliminate the x- variable ,equ(1) is multiplied by -3 and equ(2) is multiplied by 2

-6x-12y=-84 (3)

6x+10y=76 (4)

Add equ (3) and (4)

-2y=-8

y=-8/-2

y=4

Substitute y=4 into equ(1)

2x+4y=28

2x+4(4)=28

2x+16=28

2x=28-16

2x=12

x=12/2

=6

x=6, y=4