MATHEMATICS MIDDLE SCHOOL

1. At a refreshment stand, 73% of the beverages are cold and 43% of the beverages are caffeinated. Of the total beverages at the refreshment stand, 37% are cold caffeinated beverages. Beverages are only hot or cold and caffeinated or decaffeinated. What percentage of the total beverages are hot decaffeinated beverages?

Answers

Answer 1

Answer:

Answer:

Therefore, 94% of the total beverages are hot decaffeinated beverages.

Step-by-step explanation:

Let's break down the information given step by step to find the percentage of hot decaffeinated beverages:

73% of beverages are cold.

43% of beverages are caffeinated.

37% of beverages are cold and caffeinated.

To find the percentage of hot decaffeinated beverages, we can first find the percentage of cold caffeinated beverages, and then use that information to find the percentage of hot caffeinated beverages.

Percentage of cold caffeinated beverages = Percentage of beverages that are both cold and caffeinated = 37%

Now, let's find the percentage of hot caffeinated beverages:

Percentage of hot caffeinated beverages = Percentage of caffeinated beverages - Percentage of cold caffeinated beverages = 43% - 37% = 6%

Since beverages are only hot or cold and caffeinated or decaffeinated, the sum of the percentages of hot and cold caffeinated beverages should be equal to the total percentage of caffeinated beverages:

Percentage of hot caffeinated beverages + Percentage of cold caffeinated beverages = Percentage of caffeinated beverages 6% + 37% = 43%

Now, let's find the percentage of hot decaffeinated beverages:

Percentage of hot decaffeinated beverages = 100% - Percentage of hot caffeinated beverages = 100% - 6% = 94%

Therefore, 94% of the total beverages are hot decaffeinated beverages.

Answer 2

Answer:

Step-by-step explanation:

Let's look at this question step by step.

Cold and hot beverages.

--> 73% and 27%

Caffeine or decaffeinated

--> 43% and 57%

Then it has said that 37% are cold caffeinated beverages.

Which means 100% minus 37% would be 63%.

Answer is 63%.

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Answers

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Answers

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Solution:

The image of the question is attached below.

Given data:

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By central angle theorem,

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