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?

Question

Amina Benson

Mathematics

6 May, 20:31

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?

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Answers (1)

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Nolan Pruitt · Answer 1

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