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.
Answers
Answered by
2
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
Please mark me as brainliest if it helps and follow me
Answered by
0
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
Hope it helps!!
Thank you ✌️
Similar questions