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In a class, the number of girls is 60% more than the number of boys. Boys have an average weight of 2.6 kg more than girls. If the average weight of all boys and girls is 50 kg, then what is the average weight (in kg) of girls?

In a class, the number of girls is 60% more than the number of boys. Boys have an average weight of 2.6 kg more than girls. If the average weight of all boys and girls is 50 kg, then what is the average weight (in kg) of girls? Correct Answer 49

Given:

The number of girls is 60% more than the number of boys

Boys have an average weight of 2.6 kg more than girls

The average weight of all boys and girls = 50 kg

Concept:

Total weight of boys/girls will be the product of Average weight of boys/girls and Number of boys/girls

Calculation:

Let the number of boys be x

⇒ Number of girls = 60% more than the number of boys

⇒ Number of girls = 1.6x

Now,

Let the average weight of girls be y

⇒ 50 × (x + 1.6x) = (y × 1.6x) + ((y + 2.6) × x)

⇒ 130x = 1.6xy + xy + 2.6x

⇒ 127.4x = 2.6xy

⇒  y = 127.4/2.6 = 49

∴ The average weight of girls = 49 kg

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