Question

While going on a field trip, a busload of 54 students will have to be split up into three groups. two thirds will go to lunch first, and one third will go visit the exhibits. how many will go to lunch first?

Answer 1

*Given
Total number of students                                 - 54
Fraction of students going to lunch first           - 2/3
Fraction of students going to the exhibit first   - 1/3

*Solution
1. Since the students are grouped into 3, the total number of students must be divided into 3 to determine the number of students in each of the 3 groups.

                             54/3 = 18

Thus, there are 18 students per group. 

2. Two-thirds (2/3) of the total number of students will go to lunch first. Since the total number of students have already been divided into 3 groups, this simply means that 2 of the 3 groups will go to lunch first. Since each group has 18 students, 2 groups would have, 

                              18*2 = 36

Thus, 36 students will go to lunch first.