Final answer:
To find the number of cups of noodles in a soup with 6 cups, set up a proportion based on the given ratio of cups of chicken to cups of noodles. Solve for x by cross-multiplying and dividing, and find that there are 8 cups of noodles.
Step-by-step explanation:
To find the number of cups of noodles in a soup with 6 cups, we need to set up a proportion based on the given ratio of cups of chicken to cups of noodles. The ratio is 3 to 4, so we can write the proportion as 3/4 = 6/x. Now we can solve for x:
Cross-multiplying, we get 3x = 24. Dividing both sides by 3, we find x = 8. Therefore, there are 8 cups of noodles in a soup with 6 cups.