Question

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?

Answer 1

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

Answer 2

No equations are given.

Answer 3

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

Answer 4

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

Answer 5

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?

Answer 6

?

Answer 7

? 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.

Answer 8

More time than the assigned hours

Answer 9

My bad. what does his overtime PAY equal?

Answer 10

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

Answer 11

Equal, not definition.

Answer 12

?

Answer 13

It says in the first sentence of the problem

Answer 14

It tells you how much his overtime pay is.

Answer 15

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

Answer 16

Yeah. Make that an equation.

Answer 17

x = x + 5

Answer 18

How can x = x+5?

Answer 19

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.

Answer 20

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

Answer 21

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

Answer 22

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?

Answer 23

I guess you're right.

Answer 24

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

Answer 25

Oh how about y.

Answer 26

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?

Answer 27

Yeah!

Answer 28

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."

Answer 29

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

Answer 30

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.

Answer 31

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

Answer 32

Oh, okay.

Answer 33

Sorry.

Answer 34

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

Answer 35

Now lemme show you the equation for those two sentences.

Answer 36

Okay.

Answer 37

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

Answer 38

Do you have any questions?

Answer 39

Um...You wrote 144 but its 114.

Answer 40

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

Answer 41

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

Answer 42

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

Answer 43

\[8y + 3x = 114\]

Answer 44

There, that's correct now. whew.

Answer 45

Okay. Thanks! :)

Answer 46

Can you solve from there?

Answer 47

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

Answer 48

Haha alright. Good luck. :)

Answer 49

Thanks!