Question 756226: 5 spheres and 4 cubes weigh 51g
4 spheres and 5 cubes weigh 48g
What are the weights of one sphere and one cube? Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Sphere = x
Cube = y
5x + 4y = 51...1
4x + 5y = 48...2
Multiply (1) by 5 and (2) by 4
25x + 20y = 255...3
16x + 20y = 192...4
Subtract (4) from (3)
9x = 63
x = 7
Substitute x = 7 into Eq (1)
5x + 4y = 51
5(7) + 4y = 51
35 + 4y = 51
4y = 51 - 35
4y = 16
y = 4
Spheres weigh 7g
Cubes weigh 4g
hope this helps
:-)
