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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

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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