Respuesta :
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!