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We are given that:

- There are 107 athletes surveyed.
- Some of these athletes play basketball.
- Out of the basketball players, 48 also play baseball.
- The remaining 33 athletes do not play baseball.

We need to find an equation for the number of athletes, \( n \), who do **not** play basketball.

### Let’s break this down:

1. **Basketball Players**: Of the athletes who play basketball, some also play baseball, and some do not. The 48 athletes who play both baseball and basketball, plus the 33 athletes who only play basketball, give us the total number of basketball players.
   \[
   \text{Total basketball players} = 48 + 33 = 81
   \]

2. **Non-Basketball Players**: The total number of athletes is 107, so the number of athletes who do not play basketball is:
   \[
   n = 107 - 81 = 26
   \]

Thus, the equation to find the number of athletes who do not play basketball is:
\[
n = 107 - (48 + 33)
\]

Would you like any further details or explanations?

### 5 Related Questions:
1. How many athletes play both baseball and basketball?
2. How would the equation change if 10 more athletes played both basketball and baseball?
3. If 20 athletes played neither sport, how would you find this number?
4. How can we model this situation using set theory (Venn diagrams)?
5. If the total number of athletes increased by 50, how would that impact the equation?

### Tip:
In problems like this, breaking the situation into smaller parts or using a Venn diagram can make the relationships between different groups clearer.

Of 107 athletes surveyed about what sport they play, some play basketball. Of those that play basketball, 48 play baseball and the remaining 33 do not play baseball. Write an equation to find the number of athletes, n, surveyed who do not play basketball.

Learn how to write and solve an equation to determine the number of athletes who do not play basketball from a group of 107 surveyed. This problem involves key algebraic concepts and basic set theory, suitable for students in Grades 6-8.

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