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the nurse is teaching a diabetic how much sugar is contained in soda. there are 12...

the nurse is teaching a diabetic how much sugar is contained in soda. there are 12 cans of soda in each case. each case contains 16 ounces of fluid. every 24 ounces of soda contains 1 cup of sugar. how many cups of sugar are in 3 cases of soda

Expert Solution

Let us first write down the information provided in the question:

Statement 1: 12 cans are present in each case
Statement 2: Each case contains 16 ounces of fluid.
Statement 3: 24 ounces of soda contain 1 cup of sugar

From Statement 1 & 2 it is clear that:

12 cans are present in each case and each case contains 16 ounces of fluid.

Therefore 1 case = 12 cans = 16 ounces of fluid ----- (a)

So, 12 cans = 16 Ounces of fluid.

Therefore 1 can = 16 / 12 ounces of fluid-------- (b)

From statement 3, we know that 24 ounces of soda contain 1 cup of sugar.

So, 24 ounces = 1 cup sugar

Therefore, 1 ounce = 1/24 cup of sugar -------- (c)

From (a) we know that

1 case = 12 cans = 16 ounces of fluid

3 cases = 3 x 12 cans = 3 x 16 ounces of fluid
3 case = 36 cans = 48 ounces of fluid.

From (c), we know that:

1 ounce = 1/24 cup of sugar

So,

48 ounces = 48 x 1/24 cups = 2 cups

Therefore, 3 cases will contain 2 cups of sugar

Nightingale answered 1 year ago

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