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kotykmax [81]
2 years ago
6

Megan (110 pound female) and Katy (130 pound female) are having drinks while they get ready to go to a party. They are both drin

king out of 16 ounce clear plastic cups. For each drink, they put 3 ounces of 80-proof vodka and 9 ounces of juice in the plastic cup. They each have 2 drinks in the two hours it takes them to get ready. How many standard drinks did they each consume?
Mathematics
1 answer:
alekssr [168]2 years ago
3 0

Answer:

They both consumed 4 standard drinks each

Step-by-step explanation:

Here in this question, we want to calculate the number of standard drinks consumed by the two of them.

To answer this question, some conventions are needed to be understood.

An 80-proof vodka consist of 40% alcohol.

Now what do we mean by a standard drink?

In clear terms, a standard drink is ranked based on the type of alcoholic content. What this means particularly is that the type of alcoholic drink and the number of its ounces will determine if the drink is a standard drink or not.

A standard drink contains 0.6 ounces of alcohol.

Now, for a standard drink that contains a 80-proof vodka, the number of ounces of vodka present is 1.5 ounces( 1.5 ounces of 80-proof vodka contains 0.6 ounces of alcohol)

So in essence, what we are saying is that a standard drink has a measurement of 1.5 ounces of 80-proof vodka

Let’s go back to the question now;

For each drink, the put 3 ounces of 80-proof alcohol.

So per drink, they have consumed 2 standard drinks ( 1.5 ounce = 1 standard drink)

Now, since they each have 2 drinks in the two hours, and each drink contains 2 standard drinks; This means that in the 2 hours they took to get ready, they both have consumed 4 standard drinks ( per serving of their drinks, they have consumed 2 standard drinks)

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