Question

Annie is planning a business meeting for her company. She has a budget of $1,325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is $270. Which inequality shows how to find the amount, x, Annie can spend on lunch for each person?I’m taking a GED practice test and I need to know how to solve this

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The inequality shows how to find the amount, x, Annie can spend on lunch for each person.

Given:

Budget = $1325

Number of people attending the meeting = 26

The cost of renting the meeting room = $270

Let x b the amount Annie can spend on lunch for each person.

Step 1

Find the cost of 26 people if x is the cost of 1 person.

Total amount of money she can spend on the 26 people = number of people multiply my the cost for each person.

$\begin{gathered} =26\times x \\ =26x \end{gathered}$

Step 2

Determine the total cost of the meeting.

Total cost of the meeting = Total money spent on 26 people + cost of meeting room.

$=26x+270$

Step 3

Form the inequality.

Recall that her budget is $1, 325. This implies that the total cost must not exceed her budget but it can be less than that. Hence, we use "≤" to equate the total cost of the meeting and her budget.

Therefore, the inequality is;

$26x+270\leq1325$

ANSWER

26x + 270 ≤ 1325