The mean of a set of numbers is 8. The numbers add up to 60. How many numbers are there?

To find how many numbers are in the set, we use the formula for the mean (average) of a set of numbers:

\[
\text{Mean} = \frac{\text{Sum of numbers}}{\text{Number of numbers}}
\]

Given:
- The mean is 8.
- The sum of the numbers is 60.

Let \( n \) represent the number of numbers. Then:

\[
8 = \frac{60}{n}
\]

To find \( n \), multiply both sides of the equation by \( n \) and solve for \( n \):

\[
8n = 60
\]

Now, divide both sides by 8:

\[
n = \frac{60}{8} = 7.5
\]

Therefore, there are **7.5 numbers** in the set, which is not possible, so there seems to be an issue with the problem's consistency. You might want to check the data provided.

Would you like me to go over this again or assist with other math problems?

Here are 5 related questions for further practice:

1. If the mean is 10 and the sum of the numbers is 50, how many numbers are there?
2. If the sum of a set of 9 numbers is 81, what is the mean?
3. What is the sum of 5 numbers if their mean is 12?
4. A set of numbers has a mean of 15. If there are 4 numbers, what is their sum?
5. The mean of 6 numbers is 9. What is their total sum?

**Tip**: Always double-check the data provided in math problems to ensure there are no contradictions.

Learn how to calculate the number of numbers in a set when given the mean (8) and the sum (60). This arithmetic problem involves understanding how to apply the mean formula to find the correct number of elements. Suitable for students in Grades 5-7.

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