Question

To make 8 cups of tomato soup you need 2 pounds of tomatoes. How many pounds of tomatoes do you need to make 32 cups of soup? Show your work using equivalent ratios.

Plz help

Answer 1

8 pounds of tomatoes.

Step-by-step explanation:

8 cups is equivalent to 1/4 of 32 cups, so to get the full 32 cups of tomato soup, we times however many tomatoes are needed by 4, which is 2 x 4 = 8 cups. This can be shown through equivalent ratios as the ratio of tomatoes to cups of tomato soup when making 8 cups of tomato soup is 2 : 8. Because the 8 represents the cups of soup, we need to find a number that gets 8 to 32. 8 x 4 = 32. because the 8 is now a 32, we need to times the other side of the ratio by 4 also. 2 x 4 = 8. making the ratio for 32 cups 8 : 32. This ratio is also equivalent to the first ratio, of 2 : 8. The 2 : 8 ratio can also be simplified to 1 : 4, which means for every 4 cups, 1 pound of tomatoes is needed. You could’ve worked it out that way but yes I hope that’s an okay answer