College

A person budgeted [tex]\$175[/tex] for new clothes. She decides to buy a pair of shoes that cost [tex]\$47[/tex] and then buys some [tex]\$18[/tex] shirts.

Which inequality represents this situation where [tex]s[/tex] is the number of shirts she can buy?

A. [tex]18s + 47 \leq 175[/tex]
B. [tex]18s - 47 \leq 175[/tex]
C. [tex]18s - 47 \geq 175[/tex]
D. [tex]18s + 47 \geq 175[/tex]

Answer :

Sure, let's solve the problem step-by-step.

1. Understanding the Problem:
- You have a total budget of [tex]$175.
- You plan to buy a pair of shoes that cost $[/tex]47.
- You also want to buy some shirts, and each shirt costs [tex]$18.
- You need to find an inequality that represents the situation where `s` is the number of shirts you can buy.

2. Cost Breakdown:
- The cost of the shoes is $[/tex]47.
- The cost of `s` shirts would be [tex]$18 times `s`, or $[/tex]18s.

3. Set Up the Inequality:
- You want the total spending to be within your budget. This means the cost of the shoes plus the cost of the shirts should not exceed [tex]$175.
- Therefore, the inequality can be set up as follows:
\[
18s + 47 \leq 175
\]

So, the correct inequality is: \(18s + 47 \leq 175\).

This inequality ensures that the total cost of the shoes and shirts stays within the $[/tex]175 budget.

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