Mr. Villamayor rented a construction crane for five hr and a backhoe for seven hr. 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?

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The problem involves inequality symbols because of keyword maximum. Use the symbol for "less than or equal".

Answers

  • Brainly User
2016-02-24T13:34:56+08:00
Representation:
Let 7x be the rent paid for backhoe for seven hours.

Inequality equation:
     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)
      

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