A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the apprentice. If together they are paid $492, how much does the master electrician earn?
Responses
A $292$292
B $312$312
C $332$332
D $372
explain
Let x be the number of hours the apprentice worked.
Then the master electrician worked x+3 hours.
The total amount paid to the master electrician is 62(x+3) and the total amount paid to the apprentice is 40x.
Together, they are paid $492, so we can write the equation:
62(x+3) + 40x = 492
Expanding the equation, we get:
62x + 186 + 40x = 492
102x + 186 = 492
102x = 306
x = 3
So, the apprentice worked 3 hours and the master electrician worked x+3 = 3+3 = 6 hours.
The master electrician earned 62 * 6 = $372.
Therefore, the master electrician earned $372.
The answer is D) $372.