Question

The school step team has a budget of up to 850 to cover 20 new uniforms and competition fees thattotal $500. How much can they spend for one uniform?Write and solve an inequality to represent this situation

Answer 1

Let x be the price of the uniforms, we know that we need 20 uniforms and that we need to pay $500 in fees, this means that the cost is:

$20x+500$

since we have up to 850 we have the inequality:

$20x+500\leq850$

solving for x we have:

$\begin{gathered} 20x+500\leq850 \\ 20x\leq850-500 \\ 20x\leq350 \\ x\leq\frac{350}{20} \\ x\leq17.5 \end{gathered}$

Therefore they can spend up to $17.5 for each uniform.