Question

45 students were playing in the snow. Later, 2/5 of the students decided to go back indoor. Then 2/3 of the students that were still outdoor also decided to go back indoor. How many students were still outdoor?

Answer 1

To find the number of students still playing in the snow, calculate 2/5 of the initial 45 students to find those who initially went inside, then from the remainder, calculate 2/3 who also went inside. Subtract these numbers from 45 to find 9 students remain outside.

Step-by-step explanation:

The student question concerns a scenario where 45 students are initially playing in the snow and then a sequence of events leads to a decrease in their number outdoors. To solve it, we will carry out two calculations:

1. First, we find 2/5 of 45, which represents the fraction of students who decided to go back indoor initially.
2. Then we calculate 2/3 of the remaining students, representing those who decided to go back indoor after the first group left.
3. Finally, we subtract both numbers from 45 to find the number of students still outdoor.

Let's perform these steps:

1. Initially, 2/5 of the students go back inside: 45 * (2/5) = 18 students go inside.
2. After, there are 45 - 18 = 27 students left outside. Now, 2/3 of these go inside: 27 * (2/3) = 18 students go inside again.
3. The number of students still outside is now 27 - 18 = 9.

Therefore, there are 9 students who continue playing in the snow outside.