Question

Idk men PLEASE HELP!

Mr. Villamayor rented a construction crane for five hours and a backhoe for seven hours. The total amount he paid is less than Php 9,000. Suppose the hourly rate for the crane is Php 800. What is the maximum amount he paid for the backhoe to the nearest hundreds?​

Answer 1

Let 7x be the rent paid for backhoe for seven hours.

Explanation:

Keyword: maximum amount, the most

Inequality symbol: ≤

(800 × 5) + 7x ≤ 9,000

4,000 + 7x ≤ 9,000

7x ≤ 9,000 - 4,000

7x ≤ 5,000

7x ÷ 7 ≤ 5,000 ÷ 7

x ≤ 714.29

To the nearest hundreds:

x ≤ 700

ANSWER: The maximum rental fee per hour of backhoe is Php 700.00 (rounded off to the nearest hundreds).

To check if he paid less than 9,000 for the total rent:

(800 × 5) + (700 × 7) < 9,000

4,000 + 4,900 < 9,000

8,900 < 9,000 (True)