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

Answer:

It will take 14 hours.

Step-by-step 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.