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A cowboy agreed to work for one year for 19200 plus a horse. He quit after 7 months and was paid \(12450\) plus a horse. How many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?

 May 23, 2022
 #1
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Are you SURE that he was paid $12,450? Or was it $10,450? Check your question carefully.

 May 24, 2022
 #2
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$12,450 cannot be right because it gives a negative value for the horse. Exactly the same question on this forum gives $10,450 plus the horse. I shall use this latter amount:

 

Let the net worth of the horse==H

 

[19,200 + H] / 12 ==[10,450 + H] / 7, solve for H

Cross multiply

134,400 + 7H ==125,400 + 12H

134,400 - 125,400 ==12H - 7H

9,000 ==5H

H ==9,000 / 5 ==$1,800 - Net worth of the horse.

 May 24, 2022

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