Answer:
equation = 590 + 15x = 545 + 20x
No. of hours worked = 9
Step-by-step explanation:
Given that both worked for same number of hours
and
Jeremy worked for for x hours
it meant that Hector also worked for x hours(it is also mentioned same in the problem)
now that we know the number of hours worked in form of x
lets find
total money in their account if they worked for x hours
___________________________________________
For Hector
Money in Hector's account = $590
Earning for Hector in 1 hour = $15
Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x
Total money in with Hector after x hours of work
= Money in Hector's account + Earning for Hector in x hour = $590 + $15x
Similarly
For Jeremy
Money in Jeremys account = $545
Earning for Jeremy in 1 hour = $20
Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x
Total money in with Jeremy after x hours of work
= Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x
Given that they same amount of money
thus
$590 + $15x = $545 + $20x
$sign gets cancelled from both sides
590 + 15x = 545 + 20x Thus, we got the required equation
=> 590 - 545 = 20x - 15x
=> 45 = 5x
=> x = 45/5 = 9
Thus, both of them worked for 9 hours
