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144 cartons of coke cans and 90 cartons of pepsi cans are to be stacked in a cantern . If each stack is of the same height and is to contain cartons of the same drink,what would be the greatest number of cartons each stack would have?

Posted by Deepika Pansotra 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

The greatest number of cartons is the HCF of 144 and 90
Now the prime factorization of 144 and 90 are
{tex}144=16×9=2^4{/tex} {tex}\times{/tex} 3^{2.{tex}{/tex}}
{tex}90=2\times3\times3\times5=2\times3^2\times5{/tex}
HCF (144,90)= 2 {tex}\times{/tex} 3² = 18
{tex}\therefore{/tex} The greatest number of cartons each stack would have= 18.

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