Question

A recipe for lemonade calls for 2 cups of sugar for every 8 cups of water. How much sugar is needed for each cup of water. A. 1/8 cup of sugar to 1 cup of water B. 1/6 cup of sugar to 1 cup of water C. 1/4 cup of sugar to 1 cup of water D. 4 cup of sugar to 1 cup of water

Answer 1

4 cups of sugar is needed for each cup of water.

Step-by-step explanation:

The correct answer is C. 1/4 cup of sugar to 1 cup of water.

Here's the reasoning:

The recipe specifies a ratio of 2 cups of sugar to 8 cups of water.

To find the amount of sugar needed for 1 cup of water, we need to divide the sugar quantity by the water quantity per unit ratio (in this case, 8 cups).

Therefore, the amount of sugar needed for 1 cup of water is 2 cups / 8 cups/unit = 1/4 cup.

So, for every 1 cup of water, you need 1/4 cup of sugar.

The other options are incorrect:

A. 1/8 cup of sugar to 1 cup of water: This would be too little sugar for the recipe.

B. 1/6 cup of sugar to 1 cup of water: This would be too much sugar for the recipe.

D. 4 cup of sugar to 1 cup of water: This is clearly wrong, as it would be an absurdly high amount of sugar.

Answer 2

1/4 cup of sugar to 1 cup of water

Step-by-step explanation:

you divide 2 by 8 and get 0.25 and that is 1/4.

Hope this helps!!