ashtonclifford
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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.

Respuesta :

absor201

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a.  Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b.  Solve the inequality and describe what it means in the situation.

[tex]15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30[/tex]

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

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