jill teaches a music class for toddlers at the mall. this month, she spent $525 on instruments, and the mall…

jill teaches a music class for toddlers at the mall. this month, she spent $525 on instruments, and the mall charged her $40 per class to use its facilities. she is paid $65 for each class she teaches. how many classes must jill teach this month for the amount she brings in to equal her expenses? classes

jill teaches a music class for toddlers at the mall. this month, she spent $525 on instruments, and the mall charged her $40 per class to use its facilities. she is paid $65 for each class she teaches. how many classes must jill teach this month for the amount she brings in to equal her expenses? classes

Answer

Explanation:

Step1: Set up the cost - revenue equation

Let $x$ be the number of classes. The cost $C$ is the sum of the cost of instruments and the facility - use cost per class, so $C = 525+40x$. The revenue $R$ is the payment per class, so $R = 65x$. We want to find $x$ when $R = C$, so the equation is $65x=525 + 40x$.

Step2: Solve the equation for $x$

Subtract $40x$ from both sides of the equation: $65x-40x=525+40x - 40x$ $25x=525$ Then divide both sides by 25: $x=\frac{525}{25}=21$

Answer:

21