Question

If a number is increased by five and the result is then divided by three, the result is seven. write and equation models this verbal description and solve the eqution for the number described

Answer 1

For an instance, n represents the number
The equation model will be
$\dfrac{n+5}{3}=7$

Solve the equation
$\dfrac{n+5}{3}=7$
move 3 to the right side, division by 3 will be multiplication by 3 after being moved to the right side
$n+5 = 7 \times 3$
n + 5 = 21
move 5 to the right side, addition by 5 will be substraction by 5 after being moved to the right side
n = 21 - 5
n = 16

The number described is 16

Answer 2

You have to work backwards and oppositely for this question.
so you would start to find your answer by starting with 7 and multiplying by 3 because opposite of division is multiplication. then you would multiply by 5 because it says it was divided. next, you subtract five because the opposite of increasing is decreasing. i hope this made sense so the equation you’re looking for would look like this.

16+5= 21
21/3= 7