the mechanics money

Question

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 3475. What was the rate charged per hour by each mechanic if the sum of the two rates was 200 per hour?

Answer 1

r₁+r₂=200

r₂ = 200-r₁

20r₁+15r₂=3475

20r₁+15(200-r1)=3475

20r₁+3000-15r₁=3475

5r₁=475

r₁=95

r₂=200-95=105