Question

students enter school in the morning through doors on opposite sides of cafeteria. At Ms. Logrieco's door,35 students enter in the first 10 minutes. At Mr. Riley's door,22 students enter in the first 8 mins. If students continue to arrive at school at the same rate,how many students do you expect to be in the cafeteria after 24 minutes?​

Answer 1

By calculating the rates of students entering through two doors and multiplying by 24 minutes, the expected number of students in the cafeteria after 24 minutes is 150.

Step-by-step explanation:

The question involves calculating the expected number of students entering the cafeteria after 24 minutes based on the given rates of students entering through two different doors. To solve this, we first determine the rates of entry at each door. At Ms. Logrieco's door, 35 students enter in the first 10 minutes, which is a rate of 3.5 students per minute. At Mr. Riley's door, 22 students enter in the first 8 minutes, which is a rate of 2.75 students per minute.

To find out how many students will have entered after 24 minutes, we multiply the number of minutes by the respective rates:

Ms. Logrieco's door: 3.5 students/minute × 24 minutes = 84 students

Mr. Riley's door: 2.75 students/minute × 24 minutes = 66 students

Adding the two amounts together:

84 students + 66 students = 150 students.

Therefore, after 24 minutes, we expect 150 students to be in the cafeteria.

Answer 2

Ms. Logrieco's door: 35 students per 10 minutes

Mr. Riley's door: 22 students per 8 minutes

Time Frame: 24 minutes

35 x 2 = 70

35 x 2/5 = 14

70 + 14 = 84

22 x 3 = 66

84 + 66 = 150

Thus, we can expect for 150 students to be in the cafeteria after 24 minutes.