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