Question

Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party

Answer 1

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Suppose that the number of the people in the party is :

`x`

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20 % of x equals :

`(20)/(100) * x = 0.2x \\`

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Thus ;

`0.2x = 6`

`(2)/(10)x = 6 \\`

Multiply sides by 10

`10 * (2)/(10) x = 10 * 6 \\`

`2x = 60`

Divided sides by 2

`(2)/(2) x = (60)/(2) \\`

`x = 30`

There were 30 people in the party.

Thus there are ;

`30 + 6 = 36`

People at the party now.

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