Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x y

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Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

[tex]x+y=24...(1)[/tex]

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be [tex]3.50x[/tex] and cost of y 16-oz bags would be [tex]5y[/tex].

At the end of one week, she collected $97.50. We can represent this information in an equation as:

[tex]3.5x+5y=97.50...(2)[/tex]

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

[tex]y=24-x[/tex]

Substitute this value in equation (2):

[tex]3.5x+5(24-x)=97.50[/tex]

[tex]3.5x+120-5x=97.50[/tex]

[tex]-1.5x+120=97.50[/tex]

[tex]-1.5x+120-120=97.50-120[/tex]

[tex]-1.5x=-22.5[/tex]

[tex]\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}[/tex]

[tex]x=15[/tex]

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute [tex]x=15[/tex] in equation (1) to solve for y.

[tex]15+y=24[/tex]

[tex]15-15+y=24-15[/tex]

[tex]y=9[/tex]

Therefore, the number of 16-oz boxes sold be Jillian is 9.

Answer: 15 or D!

Step-by-step explanation: go sub to me on YouTub if u want just search jontome!