Multiple choice

The average weight of $12$ sacks of chili is $90\ kg$ each. If in it $6$ shacks of equal weight is added to it then the average weight sacks is $75\ kg$. Find the weight of each chili sack?

  1. $45\ kg$
  2. $30\ kg$
  3. $40\ kg$
  4. $27\ kg$
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A Correct answer
Explanation

The original total weight is 12×90 = 1080 kg. After adding six sacks, the total is 18×75 = 1350 kg, so the six added sacks weigh 270 kg altogether, or 45 kg each.

AI explanation

The total weight of the initial 12 sacks is 12 times 90, which equals 1080 kg. Using the formula for the new average, the total weight of all 18 sacks becomes 18 times 75, which equals 1350 kg. The total weight of the 6 newly added sacks is the difference between the two totals, or 1350 minus 1080, which is 270 kg. The weight of each of the 6 added chili sacks is 270 divided by 6. The weight of each chili sack is 45 kg.

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