00:00A tailor can make 9 dresses in 4 days, while a coffee shop owner can make 5 dresses in 6 days.
00:04The question asks how many days it will take them to sew 111 dresses together.
00:09Let's start by talking about the tailor.
00:12If she sews 9 dresses in 4 days, how many dresses does she sew in one day?
00:24If she sews 9 dresses in 4 days, she'll sew even fewer in a day at that rate, right guys?
00:27So, what kind of proportionality is that? If this decreases while that also decreases, then it's directly proportional.
00:31So, 4 times x equals 9, which gives us x equals 9 divided by 4 dresses.
00:41Now, let's move on to the apprentice, my friends.
00:45Our apprentice reportedly sews five dresses in six days.
00:54So how many dresses in a day? This x is independent of that, friends.
00:59X, that's what I said.
01:01Let's say X sews dresses.
01:02Now, if she sews 5 dresses in 6 days, she will sew even fewer dresses in one day.
01:06Again, it's a direct proportion.
01:086 times x equals 5, folks.
01:12Friends, x equals 5 divided by 6 dresses.
01:17Now, this is the dress that a tailor sews in 9/4 of a day.
01:21X the apprentice sews 5 out of 6 dresses, folks.
01:26In this case, let's write down 111 dresses, including x.
01:30Nine-fourths sew x together in one day.
01:33Now let's add 5 divided by 6.
01:35If they plant that much in one day.
01:37How much do they plant in a day, guys?
01:39So we call it T times, right?
01:41It will equal 111.
01:43As soon as we find this process
01:45We'll find our T here.
01:47Where do these friends meet?
01:48The smallest unites at 12.
01:503, 2, 9 divided by 3, 27, 10 more is 37.
01:5537 times T divided by 12.
01:57That equals 111.
01:59It can be simplified to 37.
02:011, 3, cross multiplication.
02:04Our T here equals 36.
02:06So, they could sew x together in 36 days.
02:09111 dresses.
02:10Denizli.
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