Question

Write and solve an equation to represent the following situation.

Answer 1

Answer:

$6 + 7x = 27$

$x = 3cm$

Step-by-step explanation:

so the question lets us know 3 things:

1) Sarah has a 27 ft pipe

2) she cuts 6 ft off

3) she cuts remaining pipe into 7 equal sections

what we don't know from the question is how big each of those 7 sections were. To form the equation we do this.

Since we know Sarah has 27 ft of pipe that would be our answer of the equation.

Sarah also removed 6 ft and the rest of the pipe she cut up into 7 small sections of equal length. since we don't know the length of the 7 smaller sections we will use the variable X to represent the length. this means that 6ft + 7x (X is the length of the pipes, and we multiply by 7 since there are 7 of them) must equal Sarah's total length of 27ft, therefore meaning our education would be

$6 + 7x = 27$

to solve for how long each pipe was, we need to solve for X by rearranging the equation as shown bellow.

$7x = 27 - 6$

$7x = 21$

$x = \frac{21}{7}$

$x = 3cm$