A boy agreed to work one year for $240 and a horse. At the end of the seven months, he quit and received $100 and a horse. What was the value of the horse?

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- Mar 24th 2007, 06:51 PMaznmartinjaiHorse Math Question
A boy agreed to work one year for $240 and a horse. At the end of the seven months, he quit and received $100 and a horse. What was the value of the horse?

- Mar 24th 2007, 06:59 PMJhevon
let x be the value of the horse in dollars

12 months wage is 240 + x => one month wage is (240 + x)/12

7 month wage is 100 + x => one month wage is (100 + x)/7

so we have:

(240 + x)/12 = (100 + x)/7

=> (240 + x)/12 - (100 + x)/7 = 0

=> (1680 + 7x - 1200 - 12x)/84 = 0

=> 1680 + 7x - 1200 - 12x = 0

=> 480 = 5x

=> x = 96

so the value of the horse is $96