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SAT Math: Identifying an Equation for the Average of Two Percentages 23 Views
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Description:
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following expressions can be used to estimate the total number of unemployed citizens in both counties if there were an equal number of citizens in each county and the total combined population was p?
Transcript
- 00:01
Okay shmoop ersfirst math question Lucky you there's only like
- 00:06
nine thousand more of these things All right so let's
- 00:08
just get started Marathons get started with the step into
- 00:11
fourteen point of one million telephone with seven percent eleven
- 00:14
percent Feeling confused as make total number of points isn't
Full Transcript
- 00:16
telling you everything Conversations and count The total population was
- 00:18
bravely represented as peace So let's think about this a
- 00:25
lot of times in doing these questions it helps to
- 00:27
actually create a real live living example is you kind
- 00:30
of think through the theory and the math here behind
- 00:32
all this stuff So we have to find out what
- 00:34
this problem means In other words take the average of
- 00:39
the two percentages So one counties as seven once eleven
- 00:42
the averages nine Convert this number into a percentage by
- 00:45
violently ill hundred toe end up with point Oh nine
- 00:47
Nine percent there Nine percent of people in both counties
- 00:51
are unemployed The word of in that phrase tells us
- 00:54
to multiply by the total population of equals times Don't
- 00:58
forget that All right let's check the answers here To
- 00:59
be sure we'll suppose each county is extremely small and
- 01:02
boring and only has one hundred people If one county
- 01:05
has a seven percent unemployment right well there'd be seven
- 01:08
unemployed people Likewise the other really small county that's also
- 01:12
equally boring would have eleven unemployed people although slightly probably
- 01:15
less boring because those four extra people might find something
- 01:18
fun to do All right Well since there are a
- 01:19
total of two hundred people in our little sample here
- 01:22
both of those counties here's what we have Seven plus
- 01:24
eleven divided by the quantity two hundred there sets eighteen
- 01:28
over two hundred which is nine Perfect Yes it's nine
- 01:31
percent The problems seem to account for every possible mistakes
- 01:34
just multiplying The two percentages are adding them or even
- 01:37
subtracting them but only one answer actually accounted for averaging
- 01:41
them so yeah the answer Here's The point O nine 00:01:44.689 --> [endTime] p thank you
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