[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.47,0:00:07.60,Default,,0000,0000,0000,,We are asked to identify the percent amount and base in this problem.
Dialogue: 0,0:00:07.60,0:00:11.80,Default,,0000,0000,0000,,They ask us 150 is 25% of what number?
Dialogue: 0,0:00:11.80,0:00:20.27,Default,,0000,0000,0000,,So another way to think about it is 25% times some number, so I will do 25% in yellow.
Dialogue: 0,0:00:20.27,0:00:35.40,Default,,0000,0000,0000,,And 25% times some number is equal to 150.
Dialogue: 0,0:00:35.40,0:00:40.07,Default,,0000,0000,0000,,So the percent is pretty easy to spot. We have a 25% right over here.
Dialogue: 0,0:00:40.07,0:00:45.07,Default,,0000,0000,0000,,So, this is going to be the percent. That is the percent.
Dialogue: 0,0:00:45.07,0:00:50.40,Default,,0000,0000,0000,,And we are multiplying the percent times some base number. So this right over here is the base
Dialogue: 0,0:00:50.40,0:00:56.93,Default,,0000,0000,0000,,and we have percent times the base is equal to some amount.
Dialogue: 0,0:00:56.93,0:01:05.80,Default,,0000,0000,0000,,And you can try to solve this in your head.
Dialogue: 0,0:01:05.80,0:01:11.47,Default,,0000,0000,0000,,This is essentially saying 25% times some number is equal to 150.
Dialogue: 0,0:01:11.47,0:01:18.73,Default,,0000,0000,0000,,If it helps, we can rewrite this as 0.25 (which is the same thing as 25%)
Dialogue: 0,0:01:18.73,0:01:26.67,Default,,0000,0000,0000,,0.25 times some number is equal to 150.
Dialogue: 0,0:01:26.67,0:01:31.67,Default,,0000,0000,0000,,And one interesting thing to think about is "should this number be larger or smaller than 150"?
Dialogue: 0,0:01:31.67,0:01:35.20,Default,,0000,0000,0000,,Well, if we only take 25% of that number, if we only take 25/100 of that number
Dialogue: 0,0:01:35.20,0:01:46.33,Default,,0000,0000,0000,,If we only take 1/4th of that number, because that's what 25% is, we get 150. So this number needs to be larger than 150.
Dialogue: 0,0:01:46.33,0:01:49.67,Default,,0000,0000,0000,,If fact, it has to be larger than 150 by 4.
Dialogue: 0,0:01:49.67,0:01:52.13,Default,,0000,0000,0000,,And to actually figure out what this number is
Dialogue: 0,0:01:52.13,0:01:57.07,Default,,0000,0000,0000,,we can actually multiply, since what is on the left hand side is equal to what is on the right
Dialogue: 0,0:01:57.07,0:02:00.80,Default,,0000,0000,0000,,hand side. If we want to solve this, we can multiply both sides by 4.
Dialogue: 0,0:02:00.80,0:02:05.07,Default,,0000,0000,0000,,If we say, look, we have some value over here and we're going to multiply
Dialogue: 0,0:02:05.07,0:02:08.20,Default,,0000,0000,0000,,it by 4 in order for it to still be equal we would have to multiply 150
Dialogue: 0,0:02:08.20,0:02:09.33,Default,,0000,0000,0000,,times 4.
Dialogue: 0,0:02:09.33,0:02:15.67,Default,,0000,0000,0000,,4 times 0.25 (or 4 times 25% or times 1/4th), this is just going to be 1.
Dialogue: 0,0:02:15.67,0:02:21.40,Default,,0000,0000,0000,,And we are going to get our number is equal to 150 times 4.
Dialogue: 0,0:02:21.40,0:02:23.93,Default,,0000,0000,0000,,Or equal to 600.
Dialogue: 0,0:02:23.93,0:02:27.80,Default,,0000,0000,0000,,And that makes sense. 25% of 600 is 150.
Dialogue: 0,0:02:27.80,9:59:59.99,Default,,0000,0000,0000,,1/4th of 600 is 150.