Question
Download Solution PDFThe ratio of boys and girls in a party is 5 : 3 respectively. If 10 boys leave the party, then the ratio of boys and girls remains 1 : 1. how many people were there in the party?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of boys to girls = 5:3
After 10 boys leave, ratio becomes = 1:1
Formula used:
Let the number of boys = 5x
Let the number of girls = 3x
Total people = Boys + Girls
After 10 boys leave:
Remaining boys = 5x - 10
Remaining girls = 3x
New ratio = Remaining boys : Remaining girls = 1 : 1
Calculation:
Given new ratio:
(5x - 10) / 3x = 1/1
⇒ 5x - 10 = 3x
⇒ 5x - 3x = 10
⇒ 2x = 10
⇒ x = 5
Total boys = 5x = 5 × 5 = 25
Total girls = 3x = 3 × 5 = 15
Total people = Boys + Girls = 25 + 15 = 40
∴ The correct answer is option (2).
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