Question

A merchant has 136 apples, 170 mangoes, and 255 oranges. These are to be arranged in heaps containing the same a number of fruits. Find the greatest number of fruits possible in each heap. i) 10 ii) 15 iii) 8iv) 17 b) How many heaps are formed? c)Is the merchant correct in mixing the fruits? Justify.

Answer 1

Step-by-step explanation:

There are 136 apples,170 mangoes and 255 oranges . These are to be arranged in heaps containing the same number of fruits . Find the greatest number of fruits possible in each heap. How many heaps are formed

We need to find HCF of

136 , 170 & 255

136 = 2 * 2 * 2 * 17

170 = 2 * 5 * 17

255 = 3 * 5 * 17

HCF = 17

the greatest number of fruits possible in each heap = 17

Heaps of Apple = 136/17 = 8

Heaps of Mangoes = 170/17 = 10

Heaps of Oranges = 255/17 = 15

Total Number of Heaps = 8 + 10 + 15 = 33

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Answer 2

No. of apples = 136

No. of mangoes = 170

No. of Oranges = 255

136 = 2×2×2×17

170 = 2×5×17

255 = 3×5×17

H.C.F. = 17

The greatest number of fruits possible in each heap = 17

Heaps of apple = 136÷17 = 8

Heaps of mangoes = 170÷17 = 10

Heaps of oranges = 255÷17 = 15

Total number of heaps = 8+10+15 = 33

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