Question

kondeh makes $5 an hour plus she gets a bonus of $40 each day. trey makes $6 and hour and he gets a bonus of $30 each day. yesterday, kondeh and trey worked the same number of hours and made the same amount of money. how many hours did they each work?

Answer 1

Kondeh and Trey each worked 10 hours yesterday.

Step-by-step explanation:

To find out how many hours Kondeh and Trey each worked, we can set up the following equation:

Kondeh's earnings = Trey's earnings

Kondeh makes $5 an hour and receives a bonus of $40 each day, so her earnings per day are $5 times the number of hours she worked, plus $40. Let's call the number of hours she worked x:

$5x + $40 = Trey's earnings

Trey makes $6 an hour and receives a bonus of $30 each day, so his earnings per day are $6 times the number of hours he worked, plus $30:

$6x + $30 = Trey's earnings

Since Kondeh and Trey made the same amount of money, we can set their earnings equal to each other and solve for x:

$5x + $40 = $6x + $30

Subtracting $5x from both sides gives:

$40 = $x + $30

Subtracting $30 from both sides gives:

$10 = $x

Therefore, they each worked 10 hours yesterday.