Question

Tala is making some vegetable soup. One small pot of soup has the vegetable amounts shown in the table below. If a large pot of soup holds 24 cups, how many cups of carrots will she need to keep the ratio in a large pot the same?

Answer 1

To find out how many cups of carrots Tala needs for a 24-cup large pot of soup, we need the total volume of the small pot to determine the proportion. Once we have it, we multiply the large pot's volume by the carrot-to-total volume ratio from the small pot.

Step-by-step explanation:

Tala is making a large pot of vegetable soup that holds 24 cups, and she needs to determine how many cups of carrots she will need to keep the vegetable ratio the same as in a smaller pot. The list includes a variety of vegetables, one of which is carrots at a quantity of half a cup.

To calculate the amount of carrots needed, we need to figure out the ratio of the carrots in the small pot compared to the total volume of the small pot, and then apply this ratio to the 24 cups capacity of the large pot. Unfortunately, the exact total volume of the small pot is not given, so we cannot complete the calculation. However, we know that if we had the total volume of the small pot, we would set up a proportion, view the half cup of carrots as a fraction of the total small pot's volume, and use that fraction to determine the equivalent amount for the 24 cups large pot. The calculation would involve multiplying the large pot's total volume by the determined fraction.