High School

A, B, C, and D go for a picnic. The weights measured on the weighing machine are as follows:

- A and B together weigh 132 kg.
- B and C together weigh 130 kg.
- C and D together weigh 102 kg.
- B and D together weigh 116 kg.

What is D's weight?

A. 58 kg
B. 78 kg
C. 44 kg
D. None of these

Answer :

Final answer:

By setting up a system of equations based on the given weights of different pairs of people, we can solve for each individual's weight. By performing a series of subtractions and additions, we find that D weighs 44kg.

Explanation:

In order to solve this problem, we can set up a system of equations. Given that A and B weigh 132 kg together, B and C weigh 130 kg together, C and D weigh 102 kg together, and B and D weigh 116 kg together, we can represent these as the following equations:

  1. A + B = 132
  2. B + C = 130
  3. C + D = 102
  4. B + D = 116

To find D's weight, first subtract equation (2) from equation (1) which gives A - C = 2. Next subtract equation (3) from equation (2) which gives B - D = 28. Now, add this result to equation (4) to find that 2B = 144. Therefore, B = 72kg. Substituting B into equation (2), we find that C = 58kg. Finally, substituting C into equation (3), we get D = 44kg.

Learn more about Simultaneous Equations here:

https://brainly.com/question/30319215

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