Serena Williams always drinks gatorade while practicing during her tennis season. She drinks three times the number of large bottles as small bottles and double the number of medium bottles as small bottles. If Serena drinks an average of 726 bottles of gatorade in one season, what is the total amount of small and large bottles of gatorade did she drink?

Question

Mathematics

Brenna Gardner

23 December, 02:07

Serena Williams always drinks gatorade while practicing during her tennis season. She drinks three times the number of large bottles as small bottles and double the number of medium bottles as small bottles. If Serena drinks an average of 726 bottles of gatorade in one season, what is the total amount of small and large bottles of gatorade did she drink?

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Answers (1)

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Laci Hancock · Answer 1

Small bottles = 161 bottles

Large bottles = 483 bottles

Step-by-step explanation:

Let the number of small bottles be X.

So, we are told that small bottles are three times the number of large bottles.

So, number of large bottles = 3X

We are told that she drank double number of medium bottles as small bottles.

So, 2 * medium bottles = X

Medium bottles = X/2 = 0.5X

Thus, total number of bottles drank is given as 726.

So, X + 0.5X + 3X = 726

4.5X = 726

X = 726/4.5

X ≈ 161 bottles

So, number of small bottles = 161 and number of large bottles = 3 * 161 = 483 bottles