The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms. ​

1.21 kilograms

Step-by-step explanation:

Let y represent the mass of the empty basket, and x represent the mass of each ball

Create a system of equations:

3x + y = 3.64

5x + y = 5.26

Solve by elimination by multiplying the top equation by -1

-3x - y = -3.64

5x + y = 5.26

Add them together, then solve for x:

2x = 1.62

x = 0.81

Plug this back into one of the equations and solve for y:

3x + y = 3.64

3(0.81) + y = 3.64

2.43 + y = 3.64

y = 1.21

So, the mass of the empty basket is 1.21 kilograms

1.21 kilograms

Step-by-step explanation:

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