Question

Please Help if you can!


You and your coworker together make $ 16 per hour. You know your coworker earns 10 percent more than you do. Your hourly wage is $7.62 .
After taking Math your hourly wage is raised to $ 12. This is a raise of 57.49 %.
After returning to work you can't help mentioning casually to your coworker that now you make__???????_ % more than he does.

Answer 1

you + she = 16
she = you + 0.1*you

(you + 01.you) + x*(you + 01.you) = 12

x = (12 - (you + 01.you))/(you + 01.you) * 100 (to get %)

Answer 2

(12 - (7.62 + 0.762))/ (7.62 + 0.762) = 0.4316 = 43.16%

Answer 3

ok thanks so much!!

Answer 4

wait

you = 7.62
you + she = 16

=> she = 16 - 7.62 = 8.38

new you = 12

you now make = 12 - 8.38 = 3.62
you make 3.62/12 = 0.30166...*100 = 30.16%

I must have some error!

Answer 5

you + she = 16
she = you + 0.1*you

she = 16 - you
or
she = you + 0.1*you



x= (12 - she)/12
or
x = (12 - you + 0.1*you)/12

*100% to get % both should give the same result. It is confusing that you have that you and the coworker make 16 and that the coworker makes 10% more. Why do you need both? This is solvable if you just know one or the other.

Answer 6

or
x = (12 - you - 0.1*you)/12

is the correct second option

Answer 7

Final correct options

x= (16 - you)/12

or

x = (12 - you + 0.1*you)/12

I am tired. Too many mistakes...

Answer 8

Final Final correct options (I am for real :) )

x= (16 - you)/12

or

x = (12 - you - 0.1*you)/12

I am tired. Too many mistakes...

Answer 9

The problem gives more information than is needed. She makes 8.38 as you said, so 12/8.38 = 1.43198, so he makes 43.20 percent more