Question

Ramjan organise a party on his birthday he invited 500 people in all of which 1/5 are friends , 1/2 are relative and rest are neighbours find the number of invited person on each category​

Answer 1

Answer:

Relatives are 250, friends are 100 and neighbours are 150 in the party.

Step-by-step explanation:

Solution :

Total = 500

Friends = $\sf{\dfrac{1}{5}}$ of 500

Relatives = $\sf{\dfrac{1}{2}}$ of 500

Neighbours = y

$\sf{\longrightarrow} \: \bigg(\dfrac{1}{5} \times 500\bigg) + \bigg(\dfrac{1}{2} \times 500\bigg)+ y = 500 \\ \\ \sf{\longrightarrow} \: 100 + 250 + y = 500 \\ \\ \sf{\longrightarrow} \: 350 + y = 500 \\ \\ \sf{\longrightarrow} \: y = 500 - 350 \\ \\ \sf{\longrightarrow} \: y = 150$

Neighbours = 150

$\rule{300}{1.5}$

Relatives,

$\sf{\longrightarrow} \: \dfrac{1}{2} \times 500 \\ \\ \sf{\longrightarrow} \: 250$

Relatives = 250

$\rule{300}{1.5}$

Friends,

$\sf{\longrightarrow} \: \dfrac{1}{5} \times 500 \\ \\ \sf{\longrightarrow} \: 100$

Friends = 100

Therefore, relatives are 250, friends are 100 and neighbours are 150 in the party.

Answer 2

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