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45 votes
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. ​

User Abroekhof
by
3.3k points

2 Answers

23 votes
23 votes

Answer:

1.21 kilograms

Explanation:

Hope this helps

User Breffny
by
2.6k points
14 votes
14 votes

Answer:

1.21 kilograms

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

User Dten
by
3.4k points