Question
"A 480-liter mixture of alcohol
and water has alcohol and water in the ratio of 5: p. When 20 liters of water are added, the new ratio of alcohol to water becomes 3:2. Determine the value of 'p'."Solution
ATQ, The quantity of alcohol in initial mixture = [5/(5 + p)] × 480 = 2400/(5 + p) Quantity of water in initial mixture = [p/(5 + p)] × 480 = 480p/(5 + p) According to question, {2400/(5 + p)} / [{480p/(5 + p)} + 20] = 3/2 2400/(500p + 100) = 3/2 1500p = 4800 – 300 = 4500 p = 4500/1500 p = 3
A bag contains 24 white and some black balls. If the probability of drawing a black ball from the bag is 1.5 times that of drawing a white ball, ...
The probability that Leah will be accepted into program P is 60% and into program Q is 40%. Leah prefers program 'P' first, then 'Q', and finally 'R'. A...
- A bag contains 9 white balls, 6 black balls, and 3 green balls. Two balls are drawn at random. Find the probability that the two balls are white.
Three persons. A, B and C. are given the same puzzle to solve. The probability that A, B and C will solve the puzzle is. 3/5., 2/3., and 1/4respectively...
A box contains 6 red balls, 4 blue balls, and 5 green balls. If two balls are drawn at random, what is the probability that one is red and the other is ...
Given that E and F are events such that P(E) = 0.7, P(F) = 0.4 and P(E ∩ F) = 0.3, find P(E|F) and P(F|E)
A jar contains 54 marbles each of which is blue green or white. The probability of selecting a blue marble at random from the jar is 1/3 and the probabi...
Roger Federer gets a chance of 60% to win 1st set of tennis and Andy Murray gets a chance of 55% to win 2nd set of tennis. In what Percent of cases are ...
A bag contains 35 white and some black balls. If the probability of drawing a black ball from the bag is 1.8 times that of drawing a white ball, find th...
A bowl contains 9 blue balls, 7 white, and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being white is:
