Multiple choice

There are five containers in a truck's hold. The weight of the first container is 150 kg and the weight of the second container is 30% more than the weight of the third container, whose weight is 20% less than the first container's weight. The weight of the fourth container is equal to the average weight of the first and third containers and the weight of the fifth container is equal to the average weight of the second and fourth containers. Find the average of the average weight of the four lighter containers and average weight of the four heavier containers.

  1. 151.5 kg

  2. 142.125 kg

  3. 223.5 kg

  4. 112.25 kg

  5. 138.125 kg
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

C1=150. C3 = 150 * 0.8 = 120. C2 = 120 * 1.3 = 156. C4 = (150+120)/2 = 135. C5 = (156+135)/2 = 145.5. Weights: 120, 135, 145.5, 150, 156. Four lighter: 120, 135, 145.5, 150 (avg 137.625). Four heavier: 135, 145.5, 150, 156 (avg 146.625). Average of these two averages: (137.625 + 146.625)/2 = 142.125.

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