There are 312,260 and 156 students in class VI,VII and VIII respectively. Buses are to hired to take these students to a picnic find the maximum number of students who can sit in a bus takes equal number of students find also the number of buses required.
Answers
Answer:
Step-by-step explanation
Given : 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic.
To Find : the maximum number of students who can sit in a bus if each bus takes equal number of students
Solution:
Assuming in any bus only on class students sit
We need to find HCF of students of class X, XI and XII
312 = 2 * 2 * 2 * 3 * 13
260 = 2 * 2 * 5 * 13
156 = 2 * 2 * 2 * 13
HCF = 2 * 2 * 13 = 52
52 Students can sit in a bus
Number of buses required = 312/52 + 260/52 + 156/52
= 6 + 5 + 3
= 14
Maximum 52 Students can sit in a bus
14 number of buses required
Given : 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic.
To Find : the maximum number of students who can sit in a bus if each bus takes equal number of students
Solution:
Assuming in any bus only on class students sit
We need to find HCF of students of class X, XI and XII
312 = 2 * 2 * 2 * 3 * 13
260 = 2 * 2 * 5 * 13
156 = 2 * 2 * 2 * 13
HCF = 2 * 2 * 13 = 52
52 Students can sit in a bus
Number of buses required = 312/52 + 260/52 + 156/52
= 6 + 5 + 3
= 14
Maximum 52 Students can sit in a bus
14 number of buses required