Dividing into a given ratio - Math Lesson - Free Educational videos for Students in K-12

Dividing into a given ratio - Math Lesson - By tecmath

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00:0-1	Welcome to the Tech mouth channel . What we're going
00:01	to be having a look at in this video is
00:03	how to divide into a given ratio . It's a
00:06	pretty simple thing to do , but I found it's
00:08	something that a lot of people get stuck on the
00:09	math . So let's launch into this . So I'm
00:12	just going to go with an example , say for
00:14	example , we had $100,000 but it was some winnings
00:17	from a lottery or something like this And it was
00:20	going to be broken up into a ratio of three
00:23	Is to seven . So pretty much what we're saying
00:26	here is one person is getting three parts and the
00:28	other person is getting seven parts . So the way
00:31	I think about this with this is I think ,
00:34	Okay , how many parts in total are there ?
00:37	And once you can think of like that , it's
00:39	pretty simple . So how many parts in total do
00:41	we have to go ? Okay , three Plus seven
00:44	. We have a total of 10 parts . Okay
00:47	, so all right , all we're gonna do is
00:49	we're going to now get $100,000 and we are going
00:54	to divide it what in And see what each part
00:57	is worth . Okay , so $100,000 divided by 10
01:01	. The answer to that is $10,000 , but our
01:03	answer isn't done yet . We've got to divide it
01:06	up into that given ratio . So one person is
01:09	getting three parts , so each part is worth 10003
01:14	times 10,000 . So One person is getting $30,000 .
01:20	Another person is going to be getting the seven parts
01:24	seven times 10,000 is $70,000 . That's the second part
01:29	of our answer . That's what this person is getting
01:32	. So pretty simple . Right , what about we
01:33	do a few more . So for a second example
01:36	, we're going to have a look at concrete .
01:38	We're going to make it a nice concrete example .
01:41	Okay , that is awful joke , isn't it ?
01:43	But we're gonna look at concrete . Concrete is made
01:45	up of three different parts . It has one bit
01:48	of it , which is cement . Okay , the
01:50	bit that binds it together , We have two parts
01:54	sand . Okay , so every bit of cement ,
01:57	we need to put in two parts sand and we
01:59	need to put in four parts of stone and that's
02:02	how you make concrete . So let's answer a few
02:05	questions about this . So the first thing I'm going
02:07	to ask is how much sand do we need for
02:08	7m cubed of concrete ? So the way that we
02:12	work this out is as follows , we have one
02:15	part cement , two parts sand , four part stone
02:17	and this ratio of one is 22 is 24 So
02:21	all together what we have is we have seven parts
02:24	, this is seven in total . So If we're
02:28	gonna make seven m of concrete , seven m cute
02:32	Divided by seven parts . Well each part is gonna
02:37	be one m cubed . So we're gonna be using
02:40	one m cubed of cement . We're gonna be using
02:43	two m cubed of sand and three m cubed of
02:48	stone . Another thing we could ask is how much
02:51	cement do we need to make ? 3.5 cubic meters
02:54	of concrete ? We're gonna be using that same ratio
02:57	here . So how much cement are we going to
03:00	need ? So if we get this 3.53.5 m cubed
03:05	and we are going to divide it into our seven
03:08	parts . And if we do that we're going to
03:10	see each part seven . divided by seven equals 0.5
03:17	m cubed . Okay so how much cement we're going
03:21	to need ? We need one part here . So
03:23	we're going to use each party . 0.5 we're gonna
03:26	be using 0.5 m cubed . We can work out
03:30	the sand as well . We're gonna use two parts
03:32	. We're going to use to lots of half a
03:34	meter . So I'm meter cubed for the stone .
03:36	We're gonna be using four parts four times . 0.5
03:40	is two m cubed . And you can see this
03:42	adds up to 3.5 m of concrete that we're making
03:46	. So for our final example , we have this
03:47	question here , the size of three angles in a
03:49	triangle . Have a ratio of one is 22 is
03:52	23 How big is each angle ? So I guess
03:54	the first thing you need to know is how many
03:56	degrees in a triangle , which is 180 degrees .
04:02	All right . So how are we going to solve
04:04	this there ? Well , pretty simple . How many
04:06	parts in total are we sharing out And as you
04:09	can see we have one plus two plus three .
04:12	We have six parts . So what we would do
04:15	here is we're going to go 180 degrees divided by
04:21	six . And this will tell us how big each
04:23	part is . Each part . 180 divided by six
04:26	is 30 degrees . So they are trying But we
04:28	have three angles one getting one part , the second
04:31	one getting two parts , the third one getting three
04:33	parts . How big is each 1 ? So if
04:36	you're getting one part you're gonna be 30 degrees .
04:39	You're getting two parts . You're gonna get two times
04:41	30 which is 60 degrees . And our third angle
04:44	is going to get three times 30 which is 90
04:47	degrees anyway . Thank you for watching . If you
04:49	like the video hit the like button , we'll see
04:51	you next time . Bye .

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