A scale is perfectly balanced with two 1-pint bottles of water on one side and 1 cup of water and 16 ounces of sand on the other. How much does the cup of water weigh?

16 ounces

Step-by-step explanation:

In this question, we have two sides of a scale.

We should know that for the scale to be perfectly balanced, the weight on either of the sides must be equal.

Now let's try and get how many ounces are in 1-pint bottle

The number of ounces in a pint is 16 ounces, this means the two bottles have a total weight of 32 ounces

Now on the other side of the scale, we already have 16 ounces of sand, what is left to equal the weight on the other side would be 32 ounces - 16 ounces and that means the cup of water will weight 16 ounces

1 cup of water=16 Ounces

Step-by-step explanation:

On one side: Two 1-pint bottles of water

On the other side: 1 cup of water and 16 ounces of sand

Since it is balanced:

Two 1-pint bottles of water = 1 cup of water + 16 ounces of sand

To determine the weight of the cup of water, we must have the same units.

Now, 1 Pint = 16 Ounces

Therefore: Two 1-pint bottles of water = 2 X 16 Ounces = 32 Ounces

Our balanced equation becomes:

32 Ounces bottles of water = 1 cup of water + 16 ounces of sand

Therefore:

1 cup of water = 32 Ounces-16 Ounces

1 cup of water=16 Ounces