Question

Suppose you have $100 to pay for swimming and yoga classes this month. The price for one yoga class is $10. You want to

attend 4 swimming classes. The equation for the quantity of yoga classes is as follows:
Qy = 22-5Qs
Calculate how much a swimming class costs. Assume that the budget has to be spent entirely. Enter the exact value. Do not round.

Answer 1

Explanation:

To calculate the cost of a swimming class, we need to find the value of Qs (the quantity of swimming classes).

Given that the equation for the quantity of yoga classes (Qy) is Qy = 22-5Qs, we can substitute the value of Qy (4, as stated in the question) into the equation:

4 = 22 - 5Qs

To solve for Qs, we need to isolate the variable. Let's rearrange the equation:

5Qs = 22 - 4

Simplifying the equation, we get:

5Qs = 18

Now, let's solve for Qs by dividing both sides of the equation by 5:

Qs = 18/5

Qs = 3.6

Since you cannot attend a fraction of a swimming class, we need to round up to the nearest whole number. Therefore, you will need to attend 4 swimming classes.

Now, to find the cost of a swimming class, we divide the total budget ($100) by the quantity of swimming classes (4):

Cost of a swimming class = $100 / 4

Cost of a swimming class = $25

So a swimming class costs $25.