Question
In a class, the ratio of boys to girls is 5:3. If 4 boys
and 2 girls leave the class, the ratio of boys to girls becomes 3:2. How many students were there in the class initially?Solution
Let the number of boys be 5x and the number of girls be 3x. Total students = 5x + 3x = 8x. After 4 boys and 2 girls leave: Boys = 5x - 4, Girls = 3x - 2. The new ratio of boys to girls is given as 3:2: (5x - 4) / (3x - 2) = 3 / 2. 2(5x - 4) = 3(3x - 2) 10x - 8 = 9x - 6 10x - 9x = 8 - 6 x = 2. Substituting x back to find the number of boys and girls: Number of boys = 5x = 5(2) = 10. Number of girls = 3x = 3(2) = 6. Total students = 10 + 6 = 16. Ans. b
Which of the following countries will host 13th World Trade Organization (WTO) Ministerial Meeting ?
The ratio of two numbers is 14 : 25. If the difference between them is 264, then the smaller of the two numbers is
Who is the author of the novel “I Shall Not Hear the Nightingale”?
In terms of brand strength, LIC is ranked:
Eight chairs are placed at a uniform distance from each other around a round table. C and D are equal distance away from both A and B; E sits between A...
Business, commerce and movement within India are described as part of the Constitution?
Match List-I with List-II and select the correct answer using the codes given below the lists.
What is the metric unit of pressure that is equal to 0.986923 atm?
Recently which of the following countries has elected as a member in “UNESCO 2003 Convention for the safeguarding of the intangible cultural heritage ...
The World Economic Forum (WEF) has been publishing an annual Global Gender Gap Report since 2006. Which country has topped the Global Gender Gap index?
