there are 156 ,208 and 260 students in groups A,B,C respectively. buses are to be hired to take them to a deserted land near a colony where people used to throw garbage. these students decided to develop a pond here.
a) find the minimum no. of buses hired if student of each group and same no. of students should be accomodated in each bus.
b) which value is depicted by them.
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☆ Given:-
- Students is group A = 156.
- Students in group B = 208.
- Students in group C = 260.
☆ To Find:-
- The minimum no. of buses hired if student of each group and same no. of students should be accomodated in each bus.
☆ Now,
For this we have to find the HCF of 156, 208and 260.
☆ So,
▪︎ 156 = 2×2×3×13.
▪︎ 208 = 2×2×2×2×13.
▪︎ 260 = 2×2×5×13.
☆ Therefore,
=》 HCF = 2×2×13.
=》 HCF = 4×13.
Therefore there are 52 students in each bus.
☆ Now,
Total students
= 156+208×260
☆ So,
No. of buses required
= 626/52
= 12.03
{APPROX}
Therefore 13 buses are required.
{Since buses can not be in point}
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