Multiple choice

The average weight of 130 students of school A is 35 pounds and the average weight of 100 students of school B is 40 pounds. Quantity A Average weight of all the students of school A and school B Quantity B 39 pounds

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be established from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Weighted average = (130*35 + 100*40) / (130+100) = (4550 + 4000) / 230 = 8550 / 230 = 37.17. Quantity A (37.17) is less than Quantity B (39).

AI explanation

The total weight of school A students is 130 multiplied by 35, which equals 4550 pounds. The total weight of school B students is 100 multiplied by 40, which equals 4000 pounds. The combined total weight is 8550 pounds for 230 students, so the average weight is 8550 divided by 230, yielding about 37.17 pounds. Since 37.17 pounds is less than 39 pounds, Quantity B is greater.

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