if 6 racquets and 4 balls weigh 5.2 kg and 4 racquets and 6 balls weigh 4.8 kg then how much does one ball weigh?
Let's assume the weight of one racquet is "r" kg and the weight of one ball is "b" kg.
According to the given information:
6r + 4b = 5.2 (equation 1)
4r + 6b = 4.8 (equation 2)
To solve these equations, we can use the method of elimination or substitution.
Elimination Method:
Multiply equation 1 by 3 and equation 2 by 2 to eliminate the "b" variable:
18r + 12b = 15.6 (equation 3)
8r + 12b = 9.6 (equation 4)
Subtract equation 4 from equation 3:
18r - 8r + 12b - 12b = 15.6 - 9.6
10r = 6
r = 0.6 kg
Substitute the value of r into equation 1:
6(0.6) + 4b = 5.2
3.6 + 4b = 5.2
4b = 5.2 - 3.6
4b = 1.6
b = 1.6/4
b = 0.4 kg
Each ball weighs 0.4 kg.