A balance scale is perfectly balanced with 2 cans of soda on one side and 1 can of soda and 8 ounces of sand on the other . How much does each can of soda weigh?

Respuesta :

The balance scale is perfectly balanced when it sits perfectly

The weight of each can of soda is 8 ounces

How to determine the weight of the soda can

Represent the weight of the can with x.

On the first side, where there are 2 cans of soda.

The weight is 2x

On the other side, where there is 1 can of soda and 8 ounces of sand

The weight is x + 8

Since the balance scale is perfectly balanced, then we have the following equation

2x = x + 8

Subtract x from both sides

x = 8

Hence, the weight of each can of soda is 8 ounces

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