Question

In the following exercise, translate to an equation or inequality and solve.

Sara has a budget of $1,000 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?

Short answer

The amount she can spend is atmost$\$55.56$

Step-by-step solution

Step 1. Given Information

We are given that the total budget is $1000 and total members are 18.

Step 2. Translation

Let $x$is the amount she can spend for each costume. Total amount for 18 members is $18x$and this amount should not exceed $1000.

Thus, the required equation is$18x\le 1000$

Step 3. Calculation

Solve the inequality to find the value.

$$\begin{gathered} 18x\le 1000 \\ x\le \frac{1000}{18}\approx 55.56 \end{gathered}$$

Thus, the amount she can spend is atmost$\$55.56$