Question

Mari asks 16 of her friends for their favorite activity. She records their answers in a picture graph.

Soccer: 4 people

Tennis: 7 people

Running: 5 people

How many people chose soccer or running?

___-___=___ OR ____+____=____

Mari asks some more friends and they all chose tennis as their favorite activity.

Now the number of students who like tennis is the same as the number of students who like soccer or running.

How many more friends did Mari ask?

___ people

Explain how you know.

______________…..

Answer 1

Mari initially surveyed 16 friends, recording 4 for soccer, 7 for tennis, and 5 for running. Later, she found the number of tennis enthusiasts equaled those who liked soccer or running (9). Therefore, she asked 2 fewer friends about their favorite activity.

Let's analyze the information given:

1. **Number of people who chose Soccer or Running:** 4 + 5 = 9 people.

2. **Number of people who chose Tennis:** Initially 7 people, but later, it becomes the same as the number who chose Soccer or Running, which is 9 people.

Now, let's find how many more friends Mari asked:

`\[ \text{Number of friends asked about Tennis initially} - \text{Number of friends who chose Tennis later} \]`

7 - 9 = -2

Mari asked 2 fewer friends about tennis later, resulting in a negative value because she asked fewer friends about tennis than she initially recorded.

So, Mari asked 2 fewer friends about their favorite activity, and she already knew about their preference for tennis from the initial survey.