Prorating of salary problem Mike, the valet, was promised a salary of $\$8000$ and a car for a year of service. When Mike left the job after $7$ months of service, he received the car and $\$1600$ as his prorated salary. What was the dollar value of the car?

Hint: If we let $c$ be the value of the car, he was promised $8000+c$ for $12$ months. He got $1600+c$ for $7$ months. This means $\frac 7{12}(8000+c)=1600+c$