00:01
So this tutorial goes through solving question 116 in chapter one section two.
00:06
And we're given the pictures and dimensions of a pillow or the amount of things needed to make a pillow.
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And we're given how much of that information or how much of those materials are in stop.
00:17
And then we're asked to figure out how many pillows we could make with the available materials.
00:23
And so what we're going to do is we're going to take the amount of material we have.
00:28
And we're going to split it into and see how many groups we can.
00:31
Can make of the required sizes.
00:33
So let's start with lace.
00:35
So i'm given 135 yards of lace.
00:39
There we go.
00:40
All right.
00:41
So 135 yards of lace and i want to split it or divide it into the necessary smaller lengths, which are nine tenths of a yard.
00:50
So that's, if i divide it, it's going to tell me how many of those i can make.
00:54
So i'm going to need to rewrite 135 as an improper fraction.
00:58
And then i can apply the fraction division algorithm, which is that you multiply by the reciprocal of the second fraction.
01:10
So 135 over 1 divided by 9 tenths is the same as 130, sorry, 135 over 1 times the reciprocal, which is 10 over 9.
01:19
So i know that i have, let's see, 135, i can divide that by 5, and that's going to give me five times 27 times 10 and then nine is three times three and then i know that 27 is actually nine times three and so i can factor out my common factors here and so i am left with of nine sorry nine is three times three times three, not nine times three.
02:03
There we go.
02:03
All right, so there we go.
02:05
So five times nine times three times ten and here we have three times three.
02:15
So i can factor out my common factor of three.
02:23
There we go.
02:24
And then i can rewrite this as five times three times three times ten over three.
02:32
And i still have another common factor.
02:35
So now i'm left with 5 times 3 times 10, which is 150.
02:39
So i can make 150 lace borders from the material i have.
02:45
So now let's work the second information, which is the fabric...