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? $3.75 $4.50 $4.95 $5.25

Answer 1

D. $5.25

.........................

Answer 2

Answer: Fourth option is correct.

Explanation:

Since we have given that

`x+4y=25.50------------------(1)\\\\3x+2y=24.00-----------------------(2)`

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

`x+4y=25.50\\\\6x+4y=48\\\\-----------------------------------\\\\-5x=-22.5\\\\x=(22.5)/(5)\\\\x=4.5`

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

`4.50+4y=25.50\\\\4y=25.50-4.50\\\\4y=21\\\\y=(21)/(4)\\\\y=5.25`

Hence, the price of protein shake is $5.25.

Thus, Fourth option is correct.