A recipe calls for ¼ of a pound of carrots for every 3 cups of soup. If Rachel has 1 ½ pounds of carrots, how many cups of soup can she make?

Answer 1

(1 1/2)/(1/4) = (6/4)/(1/4) = 6/1 = 6 pounds

6 x 3 = 18 cups

Answer 2

Hello!

So, let's break this down:

1/4 pounds of carrots per cup of soup. We have 1.5 pounds of carrots here.

1/4=0.25

1.50-0.25=1.25 that's 3 cups

1.25-0.25=1.00 that's 6 cups

1.00-0.25=0.75 that's 9 cups

0.75-0.25=0.50 that's 12 cups

0.50-0.25=0.25 that's 15 cups

0.25-0.25=0 which brings us the answer of 18 cups!

Another (and overall, quicker) way to solve this equation is to use division!

We know 1 1/2 = 1.50 and 1/4=0.25. If we do 1.5 divided by 0.25, we get 6 portions of carrots. If every 3 cups requires 0.25 pounds of carrots, we would multiply 6*3, which gives us 18 cups!