# Question 5ad31

Feb 14, 2017

Non-members and members will pay the same if they attend 7 aerobic classes.

#### Explanation:

We can write the formula for how much a member pays as:

m = $14 +$4c

Where:

$m$ is the total cost for a member

$c$ is the number of aerobic classes a member attends

We can write the formula for how much a non-member pays as:

n = $6c Where: $m$is the total cost for a non-member $c$is the number of aerobic classes a non-member attends What we are trying to find is when $m = n$so we can write and solve this for $c$(the number of aerobic classes) as: $14 + $4c =$6c

First, we will subtract color(red)($4c) from each side of the equation to isolate the $c$term while keeping the equation balanced: $14 + $4c - color(red)($4c) = $6c - color(red)($4c)

$14 + 0 = ($6 - $4)c $14 = $2c Now we divide each side of the equation by color(red)($2) to solve for $c$ while keeping the equation balanced:

($14)/color(red)($2) = ($2c)/color(red)($2)

(color(red)(cancel(color(black)($)))14)/color(red)(cancel($)2) = (color(red)(cancel(color(black)($)))color(red)(cancel(color(black)(2)))c)/color(red)(cancel($)cancel(2))#

$7 = c$

$c = 7$