00:00If 6 workers can weave 30 square meters of carpet in 3 days by working 10 hours a day each, then 5 workers can weave 6 hours a day each...
00:06My friends want to figure out how many days it would take to weave a 20-square-meter rug.
00:10Friends, let's write down what's been given: 6 workers, working 10 hours each, are weaving 30 square meters of carpet in 3 days.
00:255 workers will work 6 hours each to make a 20 square meter carpet. Friends, please pay attention to this: the units of what is given must be the same, meaning the given units must be the same.
00:43The species will be the same.
00:44So you can't write 6 hours instead of 6 workers, you can't write 5 workers under 10 hours, or let me put it this way, under 3 days.
00:54You can't just write 20 square meters; you really need to establish your proportions accurately.
00:59Let's call this x days.
01:02As you can see, what we have here is a compound proportion.
01:10We have many different types of proportions.
01:12Now, friends, what does that mean? 6 workers do it in 10 hours, 5 workers do it in 6 hours, that's 3 days, and 30 square meters per day.
01:22How much is it, friends? 20 square meters.
01:24What did we say, friends, when we compare the work that has been done?
01:31when we ratio the product of other numbers in the same way and in the same situations
01:366 times 10 times 3 divided by 5 times 6 times x (there are six workers)
01:43What's going on, guys? This proportionality is constant.
01:47These two become equal.
01:49Okay, let's simplify things from here.
01:513 divided by 2 equals 6, which simplifies to 5, 1, and 2, right guys?
01:56The threes were simplified from here.
01:58For the first time, we find our x here as 4 days.
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