Two mechanics worked on a car. the first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. together they charged a total of $1775 . what was the rate charged per hour by each mechanic if the sum of the two rates was $100 per hour?
For this case we have the following variables: x = amount of $ / hr that the mechanic obtains 1. y = amount of $ / hr obtained by mechanic 2. We write the system of equations: x + y = 100 20x + 15y = 1775 Solving the system of equations we have: x = 55 $ / hr y = 45 $ / hr Answer: the rate charged per hour by each mechanic was: x = 55 $ / hr y = 45 $ / hr
