1550.18 – Jacob's Bumper
Jacob agrees to work after school for Mr. Daniels, his school’s head custodian, who says he'll pay Jacob $240 and the front bumper of a 1958 Ford Thunderbird for one year of work, including the summer. Jacob quits after seven months. Mr. Daniels does some calculation and pays Jacob $100 plus the bumper. What did Mr. Daniels decide was the value of the bumper?
Let be the value of the bumper. We are given that the value of a whole years work is . Therefore,
So, the value of seven month's work is
where the last part of this equality is what Mr. Daniels actually paid Jacob. Solving for we get,