jillian is selling boxes of cookies to raise money for her basketball team. the 10 oz. box costs $3.50…

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.\nx + y = 24\n3.50x + 5.00y = 97.50\nsolve the system of equations. how many 10 oz. boxes were sold?\no 6\no 9\no 12\no 15

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.\nx + y = 24\n3.50x + 5.00y = 97.50\nsolve the system of equations. how many 10 oz. boxes were sold?\no 6\no 9\no 12\no 15

Answer

Explanation:

Step1: Isolate y in first equation

From $x + y=24$, we get $y = 24 - x$.

Step2: Substitute y into second equation

Substitute $y = 24 - x$ into $3.50x+5.00y = 97.50$. So $3.50x+5.00(24 - x)=97.50$.

Step3: Expand and simplify

$3.50x+120 - 5.00x=97.50$. Combine like - terms: $3.50x-5.00x=97.50 - 120$. We have $-1.5x=-22.5$.

Step4: Solve for x

Divide both sides of $-1.5x=-22.5$ by $-1.5$. So $x=\frac{-22.5}{-1.5}=15$.

Answer:

15