The school marching band has a budget of up to 750 to cover 15 new uniforms and competition fees that total 300. How much can they spend for one uniform? a. Write an inequality to represent this situation. b. Solve the inequality and describe what it means in the situation.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
multipleQuestions
newQuestion a. Write an inequality to represent this situation.
newAnswer Let \( x \) be the cost of one uniform. The inequality is \( 15x + 300 \leq 750 \).
newQuestion b. Solve the inequality and describe what it means in the situation.
newAnswer Solving the inequality:
\[ 15x + 300 \leq 750 \]
\[ 15x \leq 450 \]
\[ x \leq 30 \]
This means the band can spend up to $30 on each uniform to stay within their budget.