Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:

The total earnings is: $1850, so we have:

Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)


Divide through by 2


Substitute 105 for y in (1)

Make x the subject

Substitute 105 for y


Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Amount of room hannah can paint in an hour = 1/20
amount of room destiny can paint in an hour = 1/16
number of hours = x
1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)
4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours
1/3=2/6
5/6x2/6= 10/36
10/36 simplified is 5/18
Answer:
26 1/2
Step-by-step explanation:
convert 4 5/12 into 53/12
multiply 53/12 by 6 to get 53/2
turn 53/2 into a mixed number = 26 1/2