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Michelle has a cup of hot coffee. The liquid coffee weighs 24 ounces. Michelle adds a few teaspoons sugar and 2.5 ounces of milk to the coffee.Michelle stirs the mixture until everything is combined. The mixture now weighs 27 ounces. How many ounces of sugar did Michelle add to the coffee? A. 21.5 ounces B. 2.5 ounces C. 12 ounces D. 0.5 ounces

Question

Michelle has a cup of hot coffee. The liquid coffee weighs 24 ounces. Michelle adds a few teaspoons sugar and 2.5 ounces of milk to the coffee.Michelle stirs the mixture until everything is combined. The mixture now weighs 27 ounces. How many ounces of sugar did Michelle add to the coffee? A. 21.5 ounces B. 2.5 ounces C. 12 ounces D. 0.5 ounces

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Solution

To solve this problem, we need to understand that the total weight of the mixture after Michelle stirs it is the sum of the weight of the coffee, the milk, and the sugar.

We know that:

  • The coffee weighs 24 ounces.
  • The milk weighs 2.5 ounces.
  • The total mixture weighs 27 ounces.

We are asked to find the weight of the sugar. Let's denote the weight of the sugar as S.

We can set up the following equation to represent this situation:

24 (coffee) + 2.5 (milk) + S (sugar) = 27 (total mixture)

To solve for S, we subtract the known weights from both sides of the equation:

S = 27 - 24 - 2.5

S = 0.5

So, Michelle added 0.5 ounces of sugar to the coffee. The correct answer is D. 0.5 ounces.

This problem has been solved

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