The weights of the cones, cubes, and cylinders placed on each side of the
balance form a set of simultaneous equations.
- A cylinder cylinder weighs 3 pounds
Reasons:
The weight of each cone = 6 pounds
The given information in the diagram are;
2 cylinders + 1 cube = 1 cone + 1 cube...(1)
3 cylinders + 3 cone = 1 cone + 2 cube + 1 cylinder...(2)
Plugging in the known values gives;
2 cylinders + 1 cube = 6 + 1 cube
2 cylinders + 1 cube - 1 cube = 6 + 1 cube - 1 cube
2 cylinders = 6
[tex]1 \ cylinder = \dfrac{6 \ pounds}{2} = 3 \ pounds[/tex]
- A cylinder cylinder weighs 3 pounds
Plugging in the value of the weight of the cone and the cylinder in
equation (2) gives;
3 × 3 pounds + 3 × pounds = 1 × 6 pounds + 2 cube + 1 × 3 pounds
12 pounds = 9 pounds + 2 cubes
12 pounds - 9 pounds = 2 cubes
3 pounds = 2 cubes
[tex]1 \, cube = \dfrac{3 \ pounds }{2} = 1.5 \, pounds[/tex]
A cube weighs 1.5 pounds
Learn more here:
https://brainly.com/question/16863577
