Question

The table below shows the number of strawberries and cups of water used to make fruit punch according to a certain recipe.

Strawberries 39 and 26
water cups 30 and 20
How many cups of water are needed for every on strawberrie?

Answer 1

After simplifying the ratios of strawberries to cups of water from the given recipe, it is found that approximately 0.7692 cups of water are needed for each strawberry, since both given ratios simplify to the same number.

Step-by-step explanation:

To find out how many cups of water are needed for every strawberry, you can use the information provided about the number of strawberries and cups of water used in a fruit punch recipe. The recipe details are as follows: with 39 strawberries, you use 30 cups of water, and with 26 strawberries, you use 20 cups of water.

First, you can find the ratio for each scenario and check for consistency:

• For 39 strawberries to 30 cups of water, the ratio is 30/39.
• For 26 strawberries to 20 cups of water, the ratio is 20/26.

Next, simplify both ratios:

• 30/39 simplifies to approximately 0.7692 cups of water per strawberry.
• 20/26 simplifies to approximately 0.7692 cups of water per strawberry.

Both scenarios yield the same ratio after simplification, indicating that the recipe is consistent and you need about 0.7692 cups of water for each strawberry.

Answer 2

On average, the recipe requires approximately 1.30 cups of water for every strawberry.

To determine the number of cups of water needed for every strawberry in the given recipe, you can calculate the ratio of the cups of water to the number of strawberries. In this case, you're given that 39 strawberries require 30 cups of water and 26 strawberries require 20 cups of water.

Calculate the ratio:

Ratio = Cups of water / Strawberries

For the first set (39 strawberries, 30 cups of water):

Ratio_1 = 30 cups / 39 strawberries

For the second set (26 strawberries, 20 cups of water):

Ratio_2 = 20 cups / 26 strawberries

Average the ratios:

Average Ratio = (Ratio_1 + Ratio_2) / 2

Determine cups of water per strawberry:

Cups of water per strawberry = 1 / Average Ratio

Now, let's compute the values:

Ratio_1 ≈ 0.77

Ratio_2 ≈ 0.77

Average Ratio ≈ 0.77

Cups of water per strawberry ≈ 1.30