111 cows, 185 sheep, 296 goats are to be taken across a river. There is only one boat and the boatman says that he will take the same number and same kind of animals in each trip. Find the largest number of animals in each trip and number of trips he will make.
Answers
Answered by
228
To calculate the highest number which can divide all these three numbers, we will have to find their HCF .
the factors of 111 are - 3 and 37
of 185 are -- 5 and 37
and of 296 are -- 2 ,2,2 and 37
so, the hcf is 37.
therefore, maximum 37 animals can be taken in the boat at a time.
total no. of animals = 111+185+296 = 592
so, no. of trips = 592 divided by 37 = 16
the factors of 111 are - 3 and 37
of 185 are -- 5 and 37
and of 296 are -- 2 ,2,2 and 37
so, the hcf is 37.
therefore, maximum 37 animals can be taken in the boat at a time.
total no. of animals = 111+185+296 = 592
so, no. of trips = 592 divided by 37 = 16
Answered by
54
Answer:
16.
Step-by-step explanation:
H.C.F of 111 cows = 3 and 37
H.C.F of 185 sheep = 5 and 37
H.C.F of 296 goats = 2,2,2 and 37
now,
H.C.F=37
Therefore, maximum 37 animals can be taken in the boat at a time.
Total number of animals = 185+111+296 = 592
So, number of trips = 592 divided by 37 = 16
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