[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.71,0:00:05.95,Default,,0000,0000,0000,,In a language class, the girl to boy ratio is 5 to 8.
Dialogue: 0,0:00:05.95,0:00:09.54,Default,,0000,0000,0000,,So for every 5 girls, we have 8 boys.
Dialogue: 0,0:00:09.54,0:00:13.25,Default,,0000,0000,0000,,If there are a total of 65 students,
Dialogue: 0,0:00:13.25,0:00:15.58,Default,,0000,0000,0000,,how many girls are there?
Dialogue: 0,0:00:15.58,0:00:16.58,Default,,0000,0000,0000,,So this is interesting.
Dialogue: 0,0:00:16.58,0:00:19.13,Default,,0000,0000,0000,,They give us the ratio of girls to boys.
Dialogue: 0,0:00:19.13,0:00:20.90,Default,,0000,0000,0000,,But then they want us to think about how many
Dialogue: 0,0:00:20.90,0:00:24.80,Default,,0000,0000,0000,,girls there are given that there are 65 total students.
Dialogue: 0,0:00:24.80,0:00:26.31,Default,,0000,0000,0000,,So what we really want to think about
Dialogue: 0,0:00:26.31,0:00:28.98,Default,,0000,0000,0000,,is not just the ratio of girls to boys – we want
Dialogue: 0,0:00:28.98,0:00:36.54,Default,,0000,0000,0000,,to think about the ratio of girls to total students.
Dialogue: 0,0:00:36.54,0:00:37.52,Default,,0000,0000,0000,,So how can we figure out
Dialogue: 0,0:00:37.52,0:00:39.73,Default,,0000,0000,0000,,what this ratio's going to be?
Dialogue: 0,0:00:39.73,0:00:42.87,Default,,0000,0000,0000,,Well the girl-to-boy ratio gives us a good clue.
Dialogue: 0,0:00:42.87,0:00:48.31,Default,,0000,0000,0000,,If there are 5 girls for every 8 boys, how many total
Dialogue: 0,0:00:48.31,0:00:51.40,Default,,0000,0000,0000,,students are there going to be for every 5 girls?
Dialogue: 0,0:00:51.40,0:00:54.60,Default,,0000,0000,0000,,Well for every 5 girls, you're going to have
Dialogue: 0,0:00:54.60,0:00:56.81,Default,,0000,0000,0000,,5 girls and 8 boys.
Dialogue: 0,0:00:56.81,0:00:58.100,Default,,0000,0000,0000,,You're going to have 13 total students.
Dialogue: 0,0:00:58.100,0:01:01.25,Default,,0000,0000,0000,,So I just added the 5 and the 8 right over here.
Dialogue: 0,0:01:01.25,0:01:04.84,Default,,0000,0000,0000,,The ratio of girls to total students is 5 to 13.
Dialogue: 0,0:01:04.84,0:01:06.84,Default,,0000,0000,0000,,One way of thinking about it is if you were
Dialogue: 0,0:01:06.84,0:01:10.45,Default,,0000,0000,0000,,to evenly divide the students into groups of 13,
Dialogue: 0,0:01:10.45,0:01:14.71,Default,,0000,0000,0000,,every group of 13 students would have 5 girls.
Dialogue: 0,0:01:14.71,0:01:16.57,Default,,0000,0000,0000,,Now, I think we're ready to figure out
Dialogue: 0,0:01:16.57,0:01:19.17,Default,,0000,0000,0000,,how many total girls there are.
Dialogue: 0,0:01:19.17,0:01:24.96,Default,,0000,0000,0000,,Because they tell us that there are 65 students.
Dialogue: 0,0:01:24.96,0:01:27.13,Default,,0000,0000,0000,,So, we don't just have one group of 13,
Dialogue: 0,0:01:27.13,0:01:29.00,Default,,0000,0000,0000,,we have 65 students.
Dialogue: 0,0:01:29.00,0:01:31.63,Default,,0000,0000,0000,,And how many groups of 13 are in 65?
Dialogue: 0,0:01:31.63,0:01:38.04,Default,,0000,0000,0000,,Well to go from 13 to 65, you have to multiply by 5.
Dialogue: 0,0:01:38.04,0:01:41.43,Default,,0000,0000,0000,,5 × 10 is 50 and 5 × 3 is 15. Right.
Dialogue: 0,0:01:41.43,0:01:43.36,Default,,0000,0000,0000,,So, 13 × 5 is 65.
Dialogue: 0,0:01:43.36,0:01:45.08,Default,,0000,0000,0000,,So essentially, one way you could view it is
Dialogue: 0,0:01:45.08,0:01:47.28,Default,,0000,0000,0000,,you have 5 groups of 13.
Dialogue: 0,0:01:47.28,0:01:48.92,Default,,0000,0000,0000,,So if you have 5 groups of 13,
Dialogue: 0,0:01:48.92,0:01:51.02,Default,,0000,0000,0000,,each of those are going to have 5 girls.
Dialogue: 0,0:01:51.02,0:01:56.44,Default,,0000,0000,0000,,Multiply by 5, and you're going to have 25 girls.
Dialogue: 0,0:01:56.44,0:01:58.11,Default,,0000,0000,0000,,So for every 65 students,
Dialogue: 0,0:01:58.11,0:02:00.17,Default,,0000,0000,0000,,you're going to have 25 girls,
Dialogue: 0,0:02:00.17,0:02:03.72,Default,,0000,0000,0000,,given the information that has been given.