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Description:

PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?


Transcript

00:00

Thank you We sneak And here's your shmoop du jour

00:05

Brought to you by big pharma They have less involvement

00:09

with grossly oversized chickens than you may think All right

00:13

The smallville pharmaceutical company wants to scale up their new

00:16

drug a pill called no door that prevents smelly feet

00:20

It's made in one leader batches in a lab using

00:23

point two kilograms of their secret ingredient The company wants

00:26

to scale the drug to a fifty gallon badge The

00:29

secret ingredient is sold in eight point five kilogram packages

00:32

How many full packages of secret ingredient does the company

00:36

have to buy to make one fifty gallon batch and

00:40

hear the potential answers All right How many Well something

00:43

about this problem really stinks And seeing as how everyone's

00:46

shoes are still on we suspect it could not be

00:49

cured by a dose of no door The smallville scientists

00:53

make this stuff in one leader batches but the problems

00:56

asking us to scale that amount Teo gallons which means

01:00

this one is going to require a bit of conversion

01:03

Holly lucia all right this will be a strictly measurement

01:06

related conversion deal right We're being asked how many packages

01:09

of the secret ingredient that company would need to buy

01:12

to make one fifty gallon batch of their product How

01:15

do we get from point a to point b here

01:17

Okay first things first how many leaders are there in

01:20

fifty gallons were given the conversion rate here Fortunately one

01:24

gallon equals three point seven eight five leaders while we've

01:27

got fifty of these suckers so we'll take fifty times

01:30

three point seventy five to get one hundred eighty nine

01:32

point two Five leaders Now if the product is normally

01:35

made in one leader batches with point two kilograms of

01:38

the secret ingredient we should be able to multiply one

01:41

hundred eighty nine point two five times Point two to

01:43

get the amount of secret ingredient that would be required

01:46

for all fifty gallons Well one hundred eighty nine point

01:48

two five times Point two is thirty seven point eighty

01:51

five kilograms that's close to option c which is a

01:54

big old liar face We're not looking for the number

01:57

of kilograms We're looking for the number of packages people

02:00

read the question read it again Each package contains eight

02:04

point five kilograms so let's take our thirty seven point

02:07

eight five and divide That number by eight point five

02:09

to get four point four Five Well sadly these things

02:12

aren't sold by the forty five hundredth of a package

02:16

so we'll need to round up That means the company

02:18

would need to purchase five packages and then they'd have

02:21

a little bit bonus Secret ingredient left over So option

02:24

a is the winner here The other winners of course

02:27

are all those poor individuals out there who have been

02:29

living with stinky feet syndrome for so long on the

02:32

people around them including many who have been forced to 00:02:35.31 --> [endTime] spend years in oder therapy

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