Answered

A construction company needs to remove 4 1/4 tons of dirt from a construction site. They can remove 7/10 tons of dirt each hour. What is the total number of
hours it will take to remove the dirt?
Write your answer as a mixed number in simplest form.

Answer :

kudzordzifrancis

Answer:

6 1/14 hours

step-by-step explanation

Let x be the total number of hours it will take to remove the dirt from the

4 1/4 can be written as 17/4

17/4 tons:x hours

7/10 tons: 1hour

This implies that

[tex] \frac{ \frac{17}{4} }{x}= \frac{ \frac{7}{10} }{1} [/tex]

Cross multiply

[tex] \frac{7}{10}x= \frac{17}{4} [/tex]

Multiplying through by 10

[tex]10 \times \frac{7x}{10} =10 \times \frac{17}{4} [/tex]

[tex]7x = \frac{85}{2} [/tex]

Dividing through by 7

[tex] \frac{7x}{7} = \frac{85}{2} \div 7[/tex]

[tex] \implies x = \frac{85}{2} \times \frac{1}{2}= \frac{85}{14} =6 \frac{1}{14} [/tex]

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