Question

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

Answer 1

Answer: 15 or D!

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

Answer 2

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

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:

`x+y=24...(1)`

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
`3.50x` and cost of y 16-oz bags would be
`5y`.

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

`3.5x+5y=97.50...(2)`

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

`y=24-x`

Substitute this value in equation (2):

`3.5x+5(24-x)=97.50`

`3.5x+120-5x=97.50`

`-1.5x+120=97.50`

`-1.5x+120-120=97.50-120`

`-1.5x=-22.5`

`(-1.5x)/(-1.5)=(-22.5)/(-1.5)`

`x=15`

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

Now, we will substitute
`x=15` in equation (1) to solve for y.

`15+y=24`

`15-15+y=24-15`

`y=9`

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