A cowboy agreed to work for one year for $19200 plus a horse. He quit after 7 months and was paid $10450 plus a horse. How many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?
+128474 19200 * (7/12) = 11200 = proportional pay for 7 months
Value of horse = 11200 -10450 = $750
Let the worth of the horse =H
[19200 + H] / 12 * 7 =10450 + H, solve for H
H =1,800 dollars - worth of the horse.
Note: You could also set up a system of equations as follows:
[19200 + H] =12M [M =Months]..........(1)
[10450 + H] =7M...................................(2), solve for H, M
H = 1,800 dollars - Horse's worth.
M =1,750 - his gross monthly compensation[19200/12 + 1800/12 =1,750]
