Final Answer:
Priya needs 2 cups of raspberries for the whole cake.
Explanation:
To complete the given tape diagram, it is necessary to understand the ratio given in the question. The ratio states that 1 cup of raspberries is enough for 2/3 of the cake. This means that for the whole cake, the amount of raspberries needed is 1/2 of 3 cups, or 1.5 cups. As it is not possible to measure 1.5 cups of raspberries, it is necessary to round up to the nearest quantity, which in this case is 2 cups of raspberries. Therefore, Priya needs 2 cups of raspberries for the whole cake.
To arrive at this answer, it is necessary to understand the given ratio of 1 cup of raspberries is enough for 2/3 of the cake. This ratio can be expressed as 1:2/3 or 3:2. This ratio can be used to determine the amount of raspberries necessary for the whole cake. To do this, the amount of raspberries needed for 2/3 of the cake is multiplied by 3. This gives the amount of raspberries needed for the whole cake, which is 1.5 cups. As it is not possible to measure 1.5 cups of raspberries, the amount is rounded up to the nearest possible quantity, which in this case is 2 cups of raspberries. Therefore, Priya needs 2 cups of raspberries for the whole cake.
It is important to understand ratios and fractions when solving problems like this one. Ratios and fractions can be used to determine the relationship between two quantities, and this relationship can then be used to determine the amount of one quantity necessary to reach a certain goal. This problem demonstrates the importance of understanding ratios and fractions in order to solve problems in mathematics.