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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

Respuesta :

Answer:  Fourth option is correct.

Step-by-step explanation:

Since we have given that

[tex]x+4y=25.50------------------(1)\\\\3x+2y=24.00-----------------------(2)[/tex]

Here, x is the number of strawberry smoothies.

and y is the number of protein shakes.

So, using elimination method, we get that,

Multiplying 2 by eq(2), we get that

6x+4y=48---------------(3)

From eq(1) and (3), we have

[tex]x+4y=25.50\\\\6x+4y=48\\\\-----------------------------------\\\\-5x=-22.5\\\\x=\dfrac{22.5}{5}\\\\x=4.5[/tex]

Put the value of x in eq(1), we get that

[tex]4.50+4y=25.50\\\\4y=25.50-4.50\\\\4y=21\\\\y=\dfrac{21}{4}\\\\y=5.25[/tex]

Hence, the price of protein shake is $5.25.

Thus, Fourth option is correct.

Answer:

D. $5.25

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