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Answer :
Final answer:
To convert 1 1/2 cups to teaspoons, you multiply 1.5 (1 1/2 cups) by 16 (the number of tablespoons in a cup) and then multiply the result by 3 (the number of teaspoons in a tablespoon), equating to 72 teaspoons. In the comparison scenario, the glass with a single teaspoon of sugar contains more water than the one with a quarter cup of sugar.
Explanation:
The student's question involves converting measurements in cooking, which is a practical application of Mathematics. In the original question, there seems to be a typo stating '3 tablespoons in 1 tablespoon,' which we will ignore as it is contradictory. The correct conversion is that 1 tablespoon is equal to 3 teaspoons.
To calculate the equivalent of 1 1/2 cups in tablespoons knowing that 1 cup equals 16 tablespoons, firstly, multiply 1.5 (which represents 1 1/2 cups) by 16 to find out the number of tablespoons required. Here, 1.5 x 16 equals 24 tablespoons. Now, since 1 tablespoon equals 3 teaspoons, you need to multiply 24 by 3 to convert tablespoons to teaspoons. Therefore, 24 x 3 equals 72 teaspoons.
To answer the comparison question using the reference information provided: If the same volume of solutions is present in both glasses but one contains a single teaspoon of sugar and the other a quarter cup (which equals 4 tablespoons or 12 teaspoons), the glass with the single teaspoon of sugar carries more water because sugar takes up space.
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