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Lily loves horses. Recently, a hurricane traveled through an area of Texas were there is a dense population of horses. Lily can get food for the horses for $0.30 per pound and medical supplies for $.40 per pound. An anonymous donor pledged $8,000 to the effort and has offered to send his plane which can hold 20,000 pounds of cargo to transport the food to the relief effort location. Let x = Number of pounds of Horse Food Let y = Number of pounds of Medical Supplies

User Tyler Wood
by
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1 Answer

7 votes

Explanation:

Let x = Number of pounds of Horse Food

Let y = Number of pounds of Medical Supplies

so

0.3x+0.4y=8000----1

x+y=20000-----------2

multiply eqn 2 by 0.3 to eliminate x we have

0.3x+0.4y=8000

0.3x+0.3y=6000

-0+0.1y=2000

0.1y=2000

y=2000/0.1

y= 20000

put y=2000 in eqn 2

x+20000=20000

x=20000-20000

x=0

its quite unfortunate that for her to maximize the opportunity and the money she has to carry 20,000 pounds of only Medical Supplies

User Kostas Livieratos
by
5.3k points
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