a high school drama club is performing a musical to benefit a local charity. tickets are $5 each. they also…

a high school drama club is performing a musical to benefit a local charity. tickets are $5 each. they also received donations of $565. they want to raise at least $1500. how many tickets must they sell?

a high school drama club is performing a musical to benefit a local charity. tickets are $5 each. they also received donations of $565. they want to raise at least $1500. how many tickets must they sell?

Answer

Explanation:

Step1: Determine the total amount needed to raise

The goal is to raise at least $1500$ and they already have $565$. So the amount they still need to raise is the difference between the goal and the amount they have. Let $x$ be the amount still needed. Then $x = 1500 - 565$. $x=1500 - 565=935$

Step2: Calculate the number of tickets to sell

Since each ticket costs $5$, let $n$ be the number of tickets they need to sell. We know that the money from ticket - sales should cover the remaining amount. So we use the formula $n=\frac{\text{remaining amount}}{\text{cost per ticket}}$. $n=\frac{935}{5}=187$

Answer:

187