Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Cumulative Review Exercises: 30

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.
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