anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jojokiw3
  • jojokiw3
So you have 2 unknowns, this means you need 2 equations to solve 2 unknowns, what 2 equations do you have?
anonymous
  • anonymous
No equations are given.
jojokiw3
  • jojokiw3
Well 2 algebraic equations are in the word problem, you just gotta convert it.

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More answers

anonymous
  • anonymous
Oh. 8x + 3(5) = 114 is the only equation I can come up with.
jojokiw3
  • 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
  • anonymous
?
jojokiw3
  • 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
  • anonymous
More time than the assigned hours
jojokiw3
  • jojokiw3
My bad. what does his overtime PAY equal?
anonymous
  • anonymous
The amount of money you're given when you work more hours than you're supposed to.
jojokiw3
  • jojokiw3
Equal, not definition.
anonymous
  • anonymous
?
jojokiw3
  • jojokiw3
It says in the first sentence of the problem
jojokiw3
  • jojokiw3
It tells you how much his overtime pay is.
anonymous
  • anonymous
Kobe's overtime pay is $5 an hour more than his regular pay. Oh.
jojokiw3
  • jojokiw3
Yeah. Make that an equation.
anonymous
  • anonymous
x = x + 5
jojokiw3
  • jojokiw3
How can x = x+5?
jojokiw3
  • 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
  • anonymous
Sorry. Um... I don't know. Sorry I don't like math so I don't understand a lot of things.
jojokiw3
  • jojokiw3
It's okay, we all have things we're learning.
jojokiw3
  • 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
  • anonymous
I guess you're right.
jojokiw3
  • jojokiw3
So once you used x for "overtime pay", you can't use it again for regular pay. Instead, use another letter.
anonymous
  • anonymous
Oh how about y.
jojokiw3
  • 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
  • anonymous
Yeah!
jojokiw3
  • 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
  • jojokiw3
See if you can make an equation out of that. Remember, x = overtime pay and y = regular pay.
anonymous
  • 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
  • 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
  • anonymous
Oh, okay.
anonymous
  • anonymous
Sorry.
jojokiw3
  • jojokiw3
y can be 1000, 10000, 1 mil, we have to figure what y is in order to figure what x is.
jojokiw3
  • jojokiw3
Now lemme show you the equation for those two sentences.
anonymous
  • anonymous
Okay.
jojokiw3
  • jojokiw3
\[8(y) + 3(x) = 144\]
jojokiw3
  • jojokiw3
Do you have any questions?
anonymous
  • anonymous
Um...You wrote 144 but its 114.
jojokiw3
  • jojokiw3
Hahah! Whooppps. See, I'm human too. \[8y + 3y = 114\]
anonymous
  • anonymous
Haha yeah well that's okay. Well thanks anyway! Wow you're great at math, how do you figure that all out?
jojokiw3
  • jojokiw3
OHoafhohodf. UGH another mistake. No nononono. Get rid of that equation oh god.
jojokiw3
  • jojokiw3
\[8y + 3x = 114\]
jojokiw3
  • jojokiw3
There, that's correct now. whew.
anonymous
  • anonymous
Okay. Thanks! :)
jojokiw3
  • jojokiw3
Can you solve from there?
anonymous
  • anonymous
Yeah! Thank You, Thank You and Thank You a million more times. Bye!
jojokiw3
  • jojokiw3
Haha alright. Good luck. :)
anonymous
  • anonymous
Thanks!

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