Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The scale has two sides:
The Left Hand Side (LHS) and the Right Hand Side (RHS).
Let the weight of the sphere be represented as s
Let the weight of the cube be represented as c
Let the LHS have the 5 spheres and 1 cube, represented as = (5s + 1c)
Let the RHS have the 2 spheres and 3 cubes, represented as = (2s + 3c)
If the cube c, weighs 150 gram, c = 150g
Since the scale is balanced, therefore the weights on the LHS would be equal to the weights on the RHS.
Therefore: (5s + 1c) = (2s + 3c), c = 150.
(5s + 1*150) = (2s + 3*150)
(5s + 150) = (2s + 450) collect like terms.
5s - 2s = 450 - 150
3s = 300 Divide both sides by 3
s = 300/3
s = 100
Therefore the sphere weighs 100 gram each.
The Left Hand Side (LHS) and the Right Hand Side (RHS).
Let the weight of the sphere be represented as s
Let the weight of the cube be represented as c
Let the LHS have the 5 spheres and 1 cube, represented as = (5s + 1c)
Let the RHS have the 2 spheres and 3 cubes, represented as = (2s + 3c)
If the cube c, weighs 150 gram, c = 150g
Since the scale is balanced, therefore the weights on the LHS would be equal to the weights on the RHS.
Therefore: (5s + 1c) = (2s + 3c), c = 150.
(5s + 1*150) = (2s + 3*150)
(5s + 150) = (2s + 450) collect like terms.
5s - 2s = 450 - 150
3s = 300 Divide both sides by 3
s = 300/3
s = 100
Therefore the sphere weighs 100 gram each.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.