Question

Bert pays 53 dollars a month plus 1 dollar for each group class he attends, there's another where he hasto pay 50 dollars per month with 4 dollar for each class, when would they cost the same amount?

Answer 1

To determine when two different class payment plans cost the same, we set up equations representing each plan and solve for the number of classes. The two plans are equal in cost when Bert attends 1 class per month, with a total expense of 54 dollars for either plan.

Step-by-step explanation:

The question asks when two different payment plans for classes will result in the same total cost. To find this, we need to set up two equations and solve for the number of classes attended, where the costs are equal.

Let x be the number of group classes attended. For the first payment plan, Bert pays a base cost of 53 dollars per month plus 1 dollar for each group class. So, the total cost for the first plan is given by the equation C1 = 53 + x.

For the second payment plan, he would pay a base cost of 50 dollars per month plus 4 dollars for each class. So, the total cost for the second plan is C2 = 50 + 4x.

To determine when these two plans cost the same, we set the equations equal to each other:

53 + x = 50 + 4x

Solving for x will give us the number of classes where both plans are equal in cost.

Now subtract x from both sides:

53 = 50 + 3x

And then subtract 50 from both sides:

3 = 3x

Now, divide both sides by 3 to solve for x:

x = 1

So, the costs are the same when Bert attends 1 group class. In other words, for both plans, Bert will be spending 54 dollars when he attends one class.