Question

Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $1225 . what was the rate charged per hour by each mechanic if the sum of the two rates was $100 per hour?

Answer 1

m1+m2=100
10m1 + 15m2=1225

m1=100-m2
10(100-m2)+15m2=1225

1000-10m2+15m2=1225
5m2=225
m2=45

mechanic 1 charges 55$ and mechanic 2 charges 45$ per hour