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= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
12
15

15

Step-by-step explanation:

If 10 oz. box costs $3.50 and a 16 oz. box costs $5.00 and she collected $97.50 we can represent an expression that relates for how many money Jillian made:

(1)

where x is the number of 10 oz. boxes and y is the number of 16 oz. boxes.

She sold 24 boxes therefore:

(2)

We can right equation in terms of y and substitute it into equation 1:

(2)

Solve for x:

Jillian sold 15 10oz. boxes

15

Step-by-step explanation:

If 10 oz. box costs $3.50 and a 16 oz. box costs $5.00 and she collected $97.50 we can represent an expression that relates for how many money Jillian made:

(1)

where x is the number of 10 oz. boxes and y is the number of 16 oz. boxes.

She sold 24 boxes therefore:

(2)

We can right equation in terms of y and substitute it into equation 1:

(2)

Solve for x:

Jillian sold 15 10oz. boxes

the answer is the option D

boxes

Step-by-step explanation:

Let

x-----> the number of the oz boxes

y-----> the number of the oz boxes

we know that

-----> equation A

-----> equation B

Substitute equation A in equation B

solve for x

Find the value of y

3 is greater then both of those numbers