Answer
To feed 200 people we need: 35.7 lb of meat, 50 lb of potatoes, and 21.4 lb of carrots.
Work Step by Step
We know that 25 lb of meat fed 140 people. To find out how much meat is needed to feed 200 people, we set up a proportion:
$\displaystyle \frac{25~lb}{140~people}=\frac{x}{200~people}$
Cross-multiply:
$25*200=x*140$
$5000=x*140$
$x=5000/140$
$x\approx35.7$ lb of meat
We use the same method with 35 lb of potatoes:
$\displaystyle \frac{35~lb}{140~people}=\frac{x}{200~people}$
Cross-multiply:
$35*200=x*140$
$7000=x*140$
$x=7000/140$
$x\approx 50$ lb of potatoes
We also use the same method with 15 lb of carrots:
$\displaystyle \frac{15~lb}{140~people}=\frac{x}{200~people}$
Cross-multiply:
$15*200=x*140$
$3000=x*140$
$x=3000/140$
$x\approx 21.4$ lb of carrots
So to feed 200 people we need: 35.7 lb of meat, 50 lb of potatoes, and 21.4 lb of carrots.
