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

a. 6
b. 9
c. 12
d. 15

Answer 1

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 ofone 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. There are 12 10 oz. boxes that were sold. The answer si eltter C

Answer 2

d. 15

Step-by-step explanation:

x+ y= 24 ①

3.50x + 5.00y = 97.50 ②

You have to isolate one of the variables:

y=24-x ③

You have to replace ③ in ②:

3.50x + 5(24-x)= 97.50

3.50x+120-5x=97.50

22,5=1,5x

x=15

You have to replace X in ③ to get Y:

y= 24-15

y= 9

Jillian sold fifteen 10 oz. boxes.