Answer:
[tex]5\frac{1}{3}[/tex] cups of carrot.
Step-by-step explanation:
Let's set up proportional equation.
6 people need 2 cups of carrots
Let 16 people need x cups of carrots.
We could form ratio for number of people to cups of carrot used as
6:2
16:x
So, proportional equation would be
[tex]\frac{2}{6} =\frac{x}{16}[/tex]
Cross multiply
32=6 x
Divide both sides by 6.
x=[tex]\frac{32}{6}[/tex]
Divide to get mixed number
x=5[tex]\frac{2}{6}[/tex]
Simplify the fraction
x=[tex]5\frac{1}{3}[/tex] cups of carrot.