Question

1800 were quizzed to know there favourite fruit. 7/18 of them like apples and 11/24
of them like
mangoes. The remaining likes melon. What fraction of people like melon and how many people like
melon?​

Answer 1

• Fraction to like melons = 11/72

• Number of people to like melons = 275

Given data:

• Total number of people = 1800

• Fraction to like apples = 7/18

• Fraction to like mangoes = 11/24

To find:

• Fraction to like melons = ?

• Number of people to like melons = ?

Solution:

Here total number of people is 1800 and 1 is the sum of its fractional value.

Then fraction to like melons = 1 - sum of the fractions to like apples and mangoes

= 1 - (7/18 + 11/24)

= 1 - {(28 + 33)/72}

= 1 - 61/72

= (72 - 61)/72

= 11/72

and the number of people to like melons is

= 11/72 * 1800

= 275

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