UNIT CONVERSION FOR MATH

Question

Farmer Jebediah is trying to formulate the perfect pig feed. He knows a healthy pig should

consume a 4:3 ratio of oats to alfalfas. He has 18 pounds of oats sitting in his barn. How

many pounds of alfalfa should he purchase to maximize the amount of pig feed he can

make?

Answer 1

oats=4

alf=3

4/3=18/13.5

18/4=4.5

Answer 2

4/3 = 18/x ---> 4x = 54 ---> x = 54/4 = 27/2 = 13.5

13.5 pounds of alfalfa

Answer 3

So that there is no waste, the farmer should match the alfalfa with the same ratio 4:3

so, 4/3 = 18/x where x is the comparable ratio for the alfalfa

Then x = 13.5 pounds of alfalfa

Check: 4/3 = 1.333

18/13.5 = 1.333 OK

Answer 4

O/A=4/3

18/A=4/3

Cross multiply and solve for A