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For what number of classes would both options cost the same amount?

A fitness center offers two payment options for their clients:
 
The "Member Option" requires you to pay $42 to become a member. After that you pay only $2 per fitness class.
 
The "Non Member Option" requires you to pay $5.50 per fitness class.
 
For what number of classes would both options cost the same amount?
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1 Answer

Hi Janel;
$42+($2.00/class)
$5.50/class
x=quantity of classes
$42+[($2.00)x]=($5.50)(x)
Because the units of dollars is represented in all numerators, these cancel...
42+[(2.00)x]=(5.50)(x)
Let's subtract both sides with [(2.00)x]...
42+[(2.00)x]-[(2.00)x]=[(5.50)(x)]-[(2.00)x]
42=[(5.50)x]-[(2.00)x]
42=(5.50-2)x
42=(3.50)x
Let's divide both sides by 3.50...
42/3.50=[(3.50)x]/3.50
12=x