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Chapter 3: Problem 101

Answer the following questions. a. The total weight of all pieces of luggage loaded onto an airplane is 12,372 pounds, which works out to be an average of \(51.55\) pounds per piece. How many pieces of luggage are on the plane? b. A group of seven friends, having just gotten back a chemistry exam, discuss their scores. Six of the students reveal that they received grades of \(81,75,93,88,82\), and 85, respectively, but the seventh student is reluctant to say what grade she received. After some calculation she announces that the group averaged 81 on the exam. What is her score?

Short Answer

Expert verified
a. There are 240 pieces of luggage on the plane. b. The seventh student's score is 63.

Step by step solution

01

Problem a: Calculate the number of pieces of luggage

The average weight of each piece of luggage is \(51.55\) pounds, with the total weight being \(12372\) pounds. Therefore, by rearranging the formula for average, we get: \(Count = \frac{Sum}{Average}\). Hence, \(Count = \frac{12372}{51.55}\). Calculate this to find out the number of luggage pieces on the plane.
02

Problem b: Identify the seventh student's score

The average score of seven friends is 81, meaning the total sum of their scores is \(7 \times 81 = 567\). The sum of the first six friends' scores is \(81+75+93+88+82+85 = 504\). To identify the seventh student's score, subtract the sum of the first six scores from the total sum: \(567 - 504\). Compute this to find out the seventh student's score.

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