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?

Answer 1

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.