Question

Devin paid $30 to be a member of the fox lake gym. When he takes the boxing class, it costs him $2. Jared is not a member of the gym, and it costs him $5 for the same class. How many classes would it take for Devin's total cost to equal Jared's total cost?

Answer 1

For this case, the first thing we must do is define variables.

We have then:

x: number of classes:

y: total cost

For Devin we have the following equation:

`y = 2x + 30`

For Jared we have:

`y = 5x`

Then, by the time the cost of both is the same, we have:

`2x + 30 = 5x`

From here, we clear the value of x.

We have then:

`5x - 2x = 30`

`3x = 30`

`x = (30)/(3)`

`x = 10`

Answer:

it takes 10 classes for Devin's total cost to equal Jared's total cost