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.
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.
To find the number of visits that would make the cost of both plans the same, we can set up an equation.
Let's denote the number of visits as "v."
For the first plan, the cost per visit is $10, so the total cost would be 10v.
For the second plan, there is a monthly fee of $30 regardless of the number of visits, and an additional cost of $4 per visit. So the total cost would be 30 + 4v.
We want to find the number of visits that would make the cost of both plans equal, so we can set up the equation:
10v = 30 + 4v
Now, let's solve for v:
10v - 4v = 30
6v = 30
Divide both sides by 6:
v = 5
Therefore, the plans would cost the same at 5 visits.
To find the number of visits that would make the cost of both plans the same, we need to set up an equation and solve for the number of visits.
Let's assume the number of visits is represented by the variable 'x'.
For the first plan, the cost is $10 per visit. Therefore, the cost of the first plan is simply 10x.
For the second plan, the cost is $30 per month plus $4 per visit. Therefore, the cost of the second plan is 30 + 4x.
Since we want to find the number of visits that would make the cost of both plans the same, we can set up the equation:
10x = 30 + 4x
Now let's solve for 'x' to find the number of visits:
10x - 4x = 30
6x = 30
x = 30/6
x = 5
Therefore, the plans would cost the same at 5 visits.