The first mechanic charged $95 per hours, and the second mechanic charged $70 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2,000. How long did each mechanic work?

Step-by-step explanation:

Let a represent the hours put in my mechanic 1 and b represent that of mechanic 2.

a + b = 25, i. e. a = 25 - b

95a + 70b = 2000

Let's substitute the value of a in the second equation

95 (25 - b) + 70b = 2000

2375 - 95b + 70b = 2000

2375 - 25b = 2000

-25b = 2000 - 2375

-25b = - 375

b = 375/25

b = 15hrs

If b = 15hrs,

a + 15 = 25

a = 10hrs