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:

$5x - 2x = 30$

$3x = 30$

$x = \frac{30}{3}$

$x = 10$

Answer:

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

Answer 2

Answer:

10

Step-by-step explanation:

Let x be the number of classes Devin and Jared takes. The total cost of Devin will be:

$=30+2\codt{x}$

The total cost of Jared will be:

$5\cdot{x}$

The totals must equal to each other:

$30+2\codt{x}=5\cdot{x}$

We can solve x:

$30=3\cdot{x}$

$10=x$

It would take 10 classes