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The application problems that follow may involve …

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Problem 74 Easy Difficulty

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Hourly Wages If a man works an 8 -hour shift and is paid $\$ 96,$ how much does he make for 1 hour?

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Prealgebra

Chapter 1

Whole Numbers

Section 6

Division with Whole Numbers

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Video Transcript

problem 189. Uh, it's a little bit different this time. Right where we are given, um, the total that is earned after working for 30 hours. Right. So Alan was given $382.50 after working for 30 hours. Right? So if I say before we start this, let's let's give you a simpler example. If I say work for me for two hours, right? So I have a little bit of paperwork job for you, and, um, I think you're gonna finish it for two hours. And after you work for two hours, I give you $20. Right? So if you work for two hours and they give you 20 that means working for one hour is gonna be $10 right? $10 per hour. How did you get that? Right. All you had to do was take the total and divided by the amount of hours that you worked. So 20 divided by two would be $10. Oh, this is per hour here. Okay. All right. So we're just going to follow that same concept when it comes to, um, more complicated numbers here, even though we got these more complicated numbers. The process is the same. We take that total number and re divided by the amount of hours that you work. So go ahead and set up our long division. I got 382 buoyant 50 divided by 30 hours, Right? Two. How many thirties fit in a three. There's none. This 30 is larger, so we move forward with 38. So how many thirties are there? And 38? There's one right, and one times 30 is 30 38 minus 30 Gives us eight, and we bring down that, too, to make it 82. So next is how many thirties fit and 80. So at this point, I want to switch over to the right here a little bit, and they wanna list the multiples of 30 um, hoping that it would help us a little bit. So we got 30 right? 30 times. One is 2 30 um, 30 times two would be 60 and then times three would be 90 30 times four would be 120 right? So now going back. How many thirties fit and 80. Only two right? Was 33 thirties would be 90 you're talking about. So two times 30 would give us six. Right and 82 minus 60. You've got two minor zero, which is to and eight minus six, which is to So now we got 22. We bring him down. That five for 225 but and, um, before we start dividing, I want a copy. That that's the point. Okay, so now how many thirties fit in 225? Well, we don't know yet, Right? So let's go ahead and continue our multiples of 30 here on the right. So 120 plus 30 would be 1 50 plus 30 is 1 80 at 20. At 32 that would be 210. And then add another 30. That would be 240. Good. So this this one, two, three for 56 seven, and eight. So, how many thirties fit in 225. Our multiples here tell us that we could fit seven. Right? So seven I'm 30 would be 210. So five minus zero would be five into minus one would be one and to minus two is. You're so we're left with 15 here. Three, Um, drop the zero down and make it 150 units. I'll figure out how many 38 thirties are there in one. So our multiples chart here tells us that there are five thirties in 1 50 So let's go ahead and write 55 guys. 30 is 1 50 And that's, um, the end of our long division. So there you have it. All that's left for us to do is add that dollar sign. So Ellen is is earning $12.75 Our

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Prealgebra

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