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 $25.50. the system that represents their purchases is below.\n$x + 4y = 25.50$\n$3x + 2y = 24.00$\nwhat is the price of a protein shake?\n$3.75\n$4.50\n$4.95\n$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 $25.50. the system that represents their purchases is below.\n$x + 4y = 25.50$\n$3x + 2y = 24.00$\nwhat is the price of a protein shake?\n$3.75\n$4.50\n$4.95\n$5.25

Answer

Explanation:

Step1: Isolate x from first - equation

From $x + 4y=25.50$, we get $x = 25.50 - 4y$.

Step2: Substitute x into second - equation

Substitute $x = 25.50 - 4y$ into $3x+2y = 24.00$. $3(25.50 - 4y)+2y=24.00$. Expand: $76.5-12y + 2y=24.00$. Combine like - terms: $76.5-10y=24.00$.

Step3: Solve for y

Subtract 76.5 from both sides: $-10y=24.00 - 76.5$. $-10y=-52.5$. Divide both sides by - 10: $y=\frac{-52.5}{-10}=5.25$.

Answer:

$5.25$