Kobe's overtime pay is $5 an hour more than his regular pay. He worked 8 hours at his regular wage and 3 hours at his overtime wage. He earned $114.
What is Kobe's regular wage per hour?

- anonymous

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- jojokiw3

So you have 2 unknowns, this means you need 2 equations to solve 2 unknowns, what 2 equations do you have?

- anonymous

No equations are given.

- jojokiw3

Well 2 algebraic equations are in the word problem, you just gotta convert it.

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## More answers

- anonymous

Oh. 8x + 3(5) = 114 is the only equation I can come up with.

- jojokiw3

Hm, Let's see again. Let's name Overtime Pay as "O" and Regular Pay as "R". What does O equal in terms of R?

- anonymous

?

- jojokiw3

? What does Overtime equal? I don't want a number, because you don't know it and neither do I. The word problem tells you what his overtime pay equals.

- anonymous

More time than the assigned hours

- jojokiw3

My bad. what does his overtime PAY equal?

- anonymous

The amount of money you're given when you work more hours than you're supposed to.

- jojokiw3

Equal, not definition.

- anonymous

?

- jojokiw3

It says in the first sentence of the problem

- jojokiw3

It tells you how much his overtime pay is.

- anonymous

Kobe's overtime pay is $5 an hour more than his regular pay. Oh.

- jojokiw3

Yeah. Make that an equation.

- anonymous

x = x + 5

- jojokiw3

How can x = x+5?

- jojokiw3

Okay so you don't know what his overtime pay is, or what his regular pay is. These are called unknowns and you have 2 of them. You have to assign unique letters for each unknown.

- anonymous

Sorry. Um... I don't know. Sorry I don't like math so I don't understand a lot of things.

- jojokiw3

It's okay, we all have things we're learning.

- jojokiw3

Okay so when you say "x = x+5" you're saying some thing like, the amount of my apples is the same as the amount of my apples PLUSES five more apples. That doesn't work right?

- anonymous

I guess you're right.

- jojokiw3

So once you used x for "overtime pay", you can't use it again for regular pay. Instead, use another letter.

- anonymous

Oh how about y.

- jojokiw3

Yeah, that works! But now that you've decided on x and y, they'll mean the same thing for the rest of the problem. So now you have x = y+5, right?

- anonymous

Yeah!

- jojokiw3

So we've gotten everything out of the first sentence, next two sentences. "He worked 8 hours at his regular wage and 3 hours at his overtime wage. He earned $114."

- jojokiw3

See if you can make an equation out of that. Remember, x = overtime pay and y = regular pay.

- anonymous

Okay so this is the part where I get really confused. I tried 3(5) so that it represents : the amount of money he got(5) for working extra hours(3) and I got 15 and I did 114 - 15 but I got 99 and 99 is not one of the choices and I don't know what I did wrong.

- jojokiw3

Haha okay, holld them reins. You still don't know what x or y is, and you need to find those out first.

- anonymous

Oh, okay.

- anonymous

Sorry.

- jojokiw3

y can be 1000, 10000, 1 mil, we have to figure what y is in order to figure what x is.

- jojokiw3

Now lemme show you the equation for those two sentences.

- anonymous

Okay.

- jojokiw3

\[8(y) + 3(x) = 144\]

- jojokiw3

Do you have any questions?

- anonymous

Um...You wrote 144 but its 114.

- jojokiw3

Hahah! Whooppps. See, I'm human too. \[8y + 3y = 114\]

- anonymous

Haha yeah well that's okay. Well thanks anyway! Wow you're great at math, how do you figure that all out?

- jojokiw3

OHoafhohodf. UGH another mistake. No nononono. Get rid of that equation oh god.

- jojokiw3

\[8y + 3x = 114\]

- jojokiw3

There, that's correct now. whew.

- anonymous

Okay. Thanks! :)

- jojokiw3

Can you solve from there?

- anonymous

Yeah! Thank You, Thank You and Thank You a million more times. Bye!

- jojokiw3

Haha alright. Good luck. :)

- anonymous

Thanks!

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