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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?
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Secret Ingredients 391 Views
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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
Full Transcript
- 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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