Question

Two mechanics worked on a car. the first mechanic worked for 15 hours, and the second mechanic worked for 5 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 $165 per hour? note that the aleks graphing calculator can be used to make computations easier.

Answer 1

Let 
x----------> the first mechanic rates
y----------> the second mechanic rates

we know that
x+y=165
15x+5y=1775

using a graph tool
see the attached figure

the solution is
x=95
y=70

the answer is

the rates of the first mechanic is 95
the rates of the second mechanic is 70