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Chapter 3: Q. 310 (page 399)

Carlos is looking at apartments with three of his friends. They want the monthly rent to be no more than $2360. If the roommates split the rent evenly among the four of them, what is the maximum rent each will pay?

Short Answer

Expert verified

Each will have to pay maximum $590.

Step by step solution

01

Step 1. Given information   

We have been given that Carlos is looking at apartments with three of his friends. They want the monthly rent to be no more than $2360. The roommates split the rent evenly among the four of them.

We have to find the maximum rent each will pay.

02

Step 2. Translate the given information into an inequality. 

Choose a variable to represent that quantity.

x=rentpaidbyeach

Carlos is looking at apartments with three of his friends. They want the monthly rent to be no more than $2360. The roommates split the rent evenly among the four of them.

4x≤2360

03

Step 3. Solve the inequality  

4x≤2360x≤23604x≤590

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