Question

Three groups of students are going for a school picnic. Each group is going to a different destination. The number of students in each group are 160, 240 and 200 respectively. Each bus accommodates the same number of students. What is the maximum number of students that can be accommodated in a bus? How many buses in all will have to be hired for the three groups together?

Answer 1

Answer:

there will be 200 students in each bus

Step-by-step explanation:

as the total strenght is 600 and the bus is 3 so 600 di vided by 3 gives 200

Answer 2

Answer:

The maximum number of students that can be accommodated on a bus is 40

15 buses have to be hired for all the students

Step-by-step explanation:

Let n be the total number of students

So, n = 160 + 240 + 200 = 600

Since the same number of students has to be distributed in each bus, we need to find the HCF of the number of students in each group

HCF(160, 240, 200) = 40

Hence, 40 students can accommodate on each bus

Total number of buses

$=\frac{n}{40}$

$=\frac{600}{40}$

= 15

Therefore, the number of buses required is 15.