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

9

12

15

Verified Answer :

x + y = 24...y = 24 - x
3.50x + 5.00y = 97.50

3.50x + 5(24 - x) = 97.50
3.50x + 120 - 5x = 97.50
3.50x - 5x = 97.50 - 120
-1.5x = -22.50
x = -22.50/-1.5
x = 15....there were 15 ten oz boxes (x) sold

Answer:

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:

\(3.5*x+5*y=97.50\) (1)

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

She sold 24 boxes therefore:

\(x+y=24\) (2)

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

\(y=24-x\) (2)

\(3.5*x+5*(24-x)=97.50\)

Solve for x:

\(x=15\)

Jillian sold 15 10oz. boxes