Sam Z. answered • 08/23/19

Math/Science Tutor

oats=4

alf=3

4/3=18/13.5

18/4=4.5

JUSTICE L.

asked • 08/21/19Farmer 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?

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Sam Z. answered • 08/23/19

Tutor

4.3
(12)
Math/Science Tutor

oats=4

alf=3

4/3=18/13.5

18/4=4.5

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

13.5 pounds of alfalfa

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

O/A=4/3

18/A=4/3

Cross multiply and solve for A

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