College

Five boys were weighed in pairs (two boys are weighed together each time). The following results were obtained: 90 kg, 92 kg, 93 kg, 94 kg, 95 kg, 96 kg, 97 kg, 98 kg, 100 kg, 101 kg.

What is the total weight of the five boys?

A. 240 kg
B. 239 kg
C. 241 kg
D. 248 kg

Answer :

To determine the total weight of the five boys given their weights in pairs, let's break down the problem step by step. The pairs of weights obtained are:

90 kg, 92 kg, 93 kg, 94 kg, 95 kg, 96 kg, 97 kg, 98 kg, 100 kg, 101 kg

First, we need to find the sum of all these pair weights:

[tex]\[ 90 + 92 + 93 + 94 + 95 + 96 + 97 + 98 + 100 + 101 \][/tex]

This sum equals 956 kg.

Since each boy is weighed in four different pairs, we can determine the total weight of the five boys by dividing the total sum of the pair weights by 4. This is because each boy’s weight is counted four times within the pairs.

Thus, we divide the sum of the pair weights by 4:

[tex]\[ \frac{956}{4} = 239.0 \][/tex]

Therefore, the total weight of the five boys is 239 kg.