Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

To determine this, we can set up a proportion as follows:

grams/people=grams/people

The recipe requires 480 grams for 4 individuals and we need to find how many grams (x) are necessary for 14 individuals.

480 grams/4 people=x grams/14

480/4=x/14

Now, let's isolate x, the grams necessary for 14 people. Currently, x is divided by 14, so we will multiply both sides by 14 as multiplication is the inverse of division.

14(480/4)=(x/14)14

14(480/4)=x

14*120=x

1680=x

Thus, she requires 1,680 grams of couscous to serve 14 individuals.