Averages Questions

Multiple choice
  1. $2;1$
  2. $11:1$
  3. $1:1$
  4. $1:2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B be the number of boys and G be the number of girls. Total students = 48. Total marks = 48 * 45 = 2160. 40B + 50G = 2160. Since B + G = 48, B = 48 - G. 40(48 - G) + 50G = 2160 => 1920 - 40G + 50G = 2160 => 10G = 240 => G = 24. B = 24. Ratio B:G = 24:24 = 1:1.

Multiple choice
  1. $12$ years
  2. $10$ years
  3. $8$ years
  4. $14$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total sum of ages for 30 students is 30 * 12 = 360. The sum of the two groups is (5 * 10) + (5 * 14) = 50 + 70 = 120. The remaining 20 students have a total age of 360 - 120 = 240, so their average is 240 / 20 = 12.

Multiple choice
  1. $680$ and $720$
  2. $720$ and $680$
  3. $875$ and $525$
  4. $800$ and $600$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B be boys and G be girls. B + G = 1400. 68B + 72G = 69.5 * 1400 = 97300. Substitute G = 1400 - B: 68B + 72(1400 - B) = 97300. 68B + 100800 - 72B = 97300. -4B = -3500. B = 875. G = 525.