Martina Q.
asked 10/28/24Yoga Clients Per week
If I need to make $577 per week and I have 10 classes charging $15 per client. How many clients do I need per week?
2 Answers By Expert Tutors
Karen W. answered 10/29/24
Karen, B.S. in Math, Wyzant Certified Tutor in Many Subjects
This problem seems to be more complicated than it actually is because some information is given that is not needed to find the solution. The question is how many clients are needed per week to make $577. The class costs $15 per client. So $577.00 divided by $15 = 38.4666667. Rounding up, 39 clients are needed per week.
The fact there there are 10 classes per week is additional information that is not necessary to solve the problem.
$577 divided by 10 is $57.70. Assuming the 10 classes take place weekly, $57.70 is how much each class needs to make to hit the $577 goal.
$57.70 divided by 15 will tell you how many clients you need per class. This number is approximately 3.847. Then, you take this number multiplied by 10 to get how many total clients you need per week. This is 38.467.
Since you can't have 0.467 of a person, you round up. So, you need 39 clients weekly (9 classes of 4 people and 1 class of 3 people if you want to spread them out close to evenly).
Hope this was helpful.
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Julius N.
To determine how many clients you need per week, we can follow these steps: 1. Calculate the total revenue per class: Since you charge $15 per client and you have10 classes, the revenue per class can be represented as \(15 \times n\), where \(n\) is the number of clients per class. 2. Calculate the total revenue for all classes: \[ \text{Total revenue} = \text{Number of classes} \times (\text{Number of clients per class} \times \text{Charge per client}) =10 \times (n \times15). \] This simplifies to: \[ \text{Total revenue} =150n. \] 3. Set the total revenue equal to your goal: You want to earn $577 per week, so: \[ 150n =577. \] 4. Solve for \(n\): \[ n = \frac{577}{150} \approx3.8467. \] Since you cannot have a fraction of a client, you would need to round up to the nearest whole number: You need at least4 clients per class. SummaryTo make $577 per week with10 classes charging $15 per client, you need approximately 4 clients per class10/29/24