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A yoga studio offers memberships that cost $40 per month for unlimited classes. The studio also accepts walk-ins, charging $8 per class. If someone attends enough classes in a month, the two options cost the same total amount. How many classes is that? What is that total amount?

User Jarlaxle
by
3.2k points

2 Answers

4 votes

Final answer:

To find the number of classes that make the memberships and walk-ins cost the same, set up the equation 40x = 8y. Solve for y to find the number of classes. Substitute the value of y into the equation to find the total amount.

Step-by-step explanation:

To find the number of classes that make the memberships and walk-ins cost the same, we can set up the following equation:

40x = 8y

Where x is the number of months and y is the number of classes in a month. Since the cost of the memberships is $40 per month, the total cost for x months is $40x. The cost of walk-ins is $8 per class, so the total cost for y classes is $8y.

To find the total cost, we need to multiply the number of months by the number of classes. So we can rewrite the equation as:

40x = 8xy

Dividing both sides of the equation by 8, we get:

5x = xy

Dividing both sides of the equation by x, we get:

5 = y

So, 5 classes make the memberships and walk-ins cost the same. To find the total amount, we can substitute the value of y into the equation:

Total amount = 8y = 8 imes 5 = $40

User Maudulus
by
3.6k points
9 votes

Answer:

Step-by-step explanation:

5 classes costs $40

5x8=$40

User Tom Ladek
by
3.6k points