fiona and her friends went to a smoothie shop. they ordered three strawberry smoothies and two protein…

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? $3.75 $4.50 $4.95 $5.25

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? $3.75 $4.50 $4.95 $5.25

Answer

Explanation:

Step1: Isolate x in first - equation

$x = 25.50−4y$

Step2: Substitute x into second - equation

$3(25.50 - 4y)+2y=24.00$

Step3: Expand the left - hand side

$76.50-12y + 2y=24.00$

Step4: Combine like terms

$76.50-10y=24.00$

Step5: Solve for y

$-10y=24.00 - 76.50$ $-10y=-52.50$ $y=\frac{-52.50}{-10}=5.25$

Answer:

D. $5.25