Jenny agreed to work for a year for $9000 plus a motorcycle. At the end of 5 months, she left the job and received $250 plus the motorcycle for her pay. What was the value of the motorcycle?

To find the value of the motorcycle, we need to break down the information given.

Jenny agreed to work for a year, which is equivalent to 12 months. The total compensation she will receive for the year is $9000 plus the value of the motorcycle.

However, she left the job after working for only 5 months. Let's calculate the proportion of the total time she worked:

Proportion of time worked = (Number of months worked) / (Total months in a year)
= 5 months / 12 months
= 5/12

Now, we can calculate the proportion of the total compensation Jenny received:

Proportion of compensation received = (Proportion of time worked) * (Total compensation)
= (5/12) * $9000
= $3750

According to the given information, Jenny received $250 for her pay, as well as the motorcycle. Let's calculate the value of the motorcycle:

Value of the motorcycle = (Total compensation received) - (Cash pay received)
= $3750 - $250
= $3500

Therefore, the value of the motorcycle is $3500.

To find the value of the motorcycle, we need to figure out how much Jenny earned in 5 months, and then subtract the $250 she received in cash payment.

First, we divide the total salary of $9000 into 12 months to find the monthly salary:
$9000 / 12 = $750 per month

Next, we calculate how much Jenny earned in 5 months:
$750 per month x 5 months = $3750

Now we subtract the $250 cash payment from the total earnings in 5 months to find the value of the motorcycle:
$3750 - $250 = $3500

Therefore, the value of the motorcycle is $3500.

5/12 (9000 + m) = 250 + m

45000 + 5 m = 3000 + 12 m