Question

Question
There are 40 students in Joan’s class. She plans to invite them to her birthday party. She asked them to suggest a theme for her party. Three of every eight students suggested a rainbow-themed party. How many students suggested a rainbow-themed party? How many did not?(1 point)
students suggested a rainbow-themed party, while
students did not.

Answer 1

To find out how many students suggested a rainbow-themed party, we first determine how many students that equals based on the ratio provided (3 out of every 8 students).

1. **Calculate the number of students suggesting the rainbow theme:**

Total students = 40

Ratio of students suggesting rainbow theme = 3 out of 8

To find the number of students who suggested the rainbow theme, we can set up the equation as follows:

\[
\text{Number of students suggesting rainbow theme} = \left(\frac{3}{8}\right) \times 40
\]

\[
= \frac{3 \times 40}{8} = \frac{120}{8} = 15
\]

2. **Calculate the number of students who did not suggest the rainbow theme:**

\[
\text{Number of students who did not suggest rainbow theme} = \text{Total students} - \text{Number of students suggesting rainbow theme}
\]

\[
= 40 - 15 = 25
\]

So, the final answer is:
15 students suggested a rainbow-themed party, while 25 students did not.