A yoga studio has two participation plans. The first plan costs $10 per visit. The second plan costs $30 per month, and $4 per visit. How many visits would make the cost of both plans the same?
Let's assume that the number of visits is "x".
For the first plan, the cost is simply $10 per visit.
For the second plan, the cost is $30 per month plus $4 per visit. So, the cost for "x" visits would be:
Cost = $30 + $4x
We want to find the number of visits that make the cost of both plans the same.
So, we can set up an equation:
$10x = $30 + $4x
Simplifying this equation:
$6x = $30
x = 5
Therefore, 5 visits would make the cost of both plans the same.
In a bike race, bike A is 50 miles from the starting point and travels 30 miles per hour. Bike B is 100 miles from the starting point and travels 25 miles per hour. After how many miles will bike A and bike B be the same distance from the starting point
To determine the number of visits that would make the cost of both plans the same, let's set up an equation.
Let's represent the number of visits as 'x'.
For the first plan, the cost is $10 per visit. Therefore, the cost of the first plan would be 10x.
For the second plan, there is a monthly fee of $30, and an additional cost of $4 per visit. So, the cost of the second plan would be 30 + 4x.
To find the number of visits that would make the cost of both plans equal, we need to equate the costs and solve for 'x':
10x = 30 + 4x
Subtracting 4x from both sides, we get:
6x = 30
Dividing both sides by 6, we find:
x = 30 / 6
x = 5
Therefore, 5 visits would make the cost of both plans the same.
To find out how many visits would make the cost of both plans the same, we need to set up an equation.
Let's represent the number of visits as "x".
For the first plan, the cost is simply $10 per visit. So, the cost of the first plan would be: 10x.
For the second plan, there is a fixed monthly fee of $30, plus $4 per visit. Therefore, the cost of the second plan would be: 30 + 4x.
Since we want to find the number of visits that make the cost of both plans equal, we can set up the following equation:
10x = 30 + 4x
Now, let's solve this equation to find the value of "x".
First, we can simplify the equation by subtracting 4x from both sides:
10x - 4x = 30 + 4x - 4x
This gives us:
6x = 30
Next, we can divide both sides of the equation by 6 to isolate "x":
6x / 6 = 30 / 6
Simplifying further, we have:
x = 5
So, it would take 5 visits to make the cost of both plans the same.