A yoga studio has two participation plans. The first plan cost $10 per visit. The second plan cost $30 per month, and $4 per visit. How many visits would make the cost of both plans the same? The plans would cost the same at _ visits.

1 answer

Let's represent the number of visits as "n".

For the first plan, the cost per visit is $10.

For the second plan, in addition to the $30 monthly fee, there is a cost of $4 per visit.

So, the total cost for the second plan would be 30 + 4n.

To find the number of visits that would make the cost of both plans the same, we need to set up an equation:

10n = 30 + 4n

Combining like terms, we have:

6n = 30

Dividing both sides of the equation by 6, we find:

n = 5

Therefore, the plans would cost the same at 5 visits.