Jack overtime wage is $3 per hour more than his regular hourly wage and 4 hours at overtime wage. He earned $66. Find his regular wage

Question

help please

Answer 1

I assumed that "Jack" worked 40 hours at his regular wage, + 4 overtime hours, perhaps that accounts for the vastly different answer. Does the question specify that the $66 was just from overtime hours worked?

 

Here's my work:

 

overtime wage = regular wage + $3/hour

$66  = regular wage * 40 hours + overtime wage * 4 hours

 

$66 = 40x + 4(x+3)

$66 = 40x + 4x + 12

$66 = 44x + 12

$54 = 44x

$1.22727 = x

so: regular wage = $1.23/hour

Check the work:

$66 = ($1.23 * 40) + [$(1.23 + $3) * 4]

$66 = ($1.23 *40) + (4.23 * 4)

$66 = $49.09 + $16.92

$66 = $66.01

Answer 2

X is his normal wage.

 

We have 4 hours worked at his overtime rate, which is $3 more than the regular wage, with his total pay at $66.

 

(x + 3) * 4 = 66

 

First divide both sides by 4

 

((x + 3) * 4) / 4 = 66/4

 

x + 3  = 16.5

 

Now subtract 3 from both sides.

 

x + 3 - 3 = 16.5 -3

 

x = 13.5

 

Jack's overtime wage was $16.5 and his regular wage is $13.5