Question

Pieter wrote the equation 7h – 5(3h – 8) = –72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. How many hours will it take to dig the well?

Answer 1

the answer to the question

Answer 2

It will take 14 hours.

Explanation:

Here, the given equation, that model the number of hours it takes to dig a well to a level of 72 feet below sea level, is,

`7h - 5(3h - 8) = -72`

Where, h is the variable,

So, h must represent the number of hours,

By the above equation,

`7h-15h+40=-72` ( Distributive property ),

`-8h=-72-40` ( Subtraction property of equality ),

`-8h=-112`

`\implies h = 14` ( Division property of equality )

Hence, it will take 14 hours to dig the well.