Question

fiona and her friends went to a smoothie shop. they ordered three strawberry smoothies and two protein shakes for a total of $24.00. last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. the system that represents their purchases is below. x 4y = 25.50 3x 2y = 24.00 what is the price of a protein shake?

Answer 1

D. $5.25

Explanation:

right on edge 2023

Answer 2

3x + 2y = 24

x + 4y = 25.5

y =?

multiply the first equation by 2 and subtract the second equation:

6x + 4y = 48

- x - 4y = - 25.5
-------------------------

6x - x = 48 - 25.5

5x = 22.5

x = 22.5 / 5 = 4.5

Now solve for y from any of the initial equations

y = [24 - 3x]/2 = [24 - 3*4.5 ]/2 = 5.25

Answer: 5.25