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SAT Math: Identifying a Pair of Chocolate-Covered Inequalities 4 Views
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Description:
Austin is buying candy for a fundraiser. He has only $18 to spend and wants to buy at least 10 pieces of candy. He would like to buy either chocolate candy, which costs $1.15 a piece, or sour candy, which costs $2.50 a piece. Let x represent the number of chocolate candies he buys, and let y represent the number of sour candies, where x and y are nonnegative integers. Which of the following systems of inequalities accurately models Austin's situation?
Transcript
- 00:03
All right s e t math shmoop er's You have
- 00:06
our condolences that this is how you have to spend
- 00:08
your saturday but try to make it less painful so
- 00:11
you can look at this whole reference information thing of
- 00:14
unhealthy but well frankly it's not worth that much Okay
Full Transcript
- 00:17
we have won five In the siri's Austin is one
- 00:18
candy for a fundraiser He has only thing to spend
- 00:20
One's about The same piece of candy like about chocolate
- 00:21
candy would cost about fifteen apiece or sour candy which
- 00:23
cost two fifty for a representative from tennessee buys and
- 00:25
representing sour candies that sweet and sour pork that's Why
- 00:28
are no negativity right there No negative positive filing systems
- 00:30
of inequalities accurately models austin's situations Are inequalities That means
- 00:36
we have little happy smiley duckface thing there And little
- 00:40
assads miley duck face thing there and it's a greater
- 00:43
than less than or equal to Yeah that's what it
- 00:45
is So we're thinking aloud here What does all this
- 00:47
mean Well math is at its sweetest when there's chocolate
- 00:50
involved in a problem You know we said that the
- 00:52
number of chocolate candies his ex and why is the
- 00:55
number of sour candies you just made that up We
- 00:57
just assigned x and y right there without any presidential
- 01:00
directive So x plus why Must be the total number
- 01:04
of candies austin buys Right Number suite number sour austin
- 01:07
wants to buy at least ten pieces Meaning ten or
- 01:11
more So it's equal to ten or greater than ten
- 01:14
So x plus y has to be greater than or
- 01:17
equal to ten right there That's How we write it
- 01:18
x plus y greater than equal to ten All right
- 01:20
keep going Each chocolate candy x costs a buck fifteen
- 01:24
and a sour candy Why cost two Fifty Therefore one
- 01:28
point one five x is the money paid for x
- 01:31
number of chocolate candies and two Point five wise the
- 01:33
money paid for a y number of sour candies making
- 01:36
the total cost of the candy equal to one point
- 01:39
One five Acts plus 2 . 5 why very clever all right
- 01:42
then because austin on lee has eighteen bucks to spend
- 01:46
well the cost the total must be less than or
- 01:48
equal to eighteen bucks so we write it as one
- 01:51
point five Acts plus 2 . 5 white has to be less
- 01:54
than or equal to eighteen well are two inequalities are
- 01:58
x plus y is greater than equal to ten and
- 02:00
one point one five Acts plus 2 . 5 why is less
- 02:03
than or equal to eighteen so the answer's right there
- 02:05
it's right in front of you can even circle it
- 02:07
if you want austin wants to buy at least ten
- 02:09
pieces so he would not accept any amount less than
- 02:11
ten so get rid of that guy and that guy
- 02:14
we could also be led astray if we read the
- 02:17
question in a hurry and assumed austin had in dollars
- 02:20
to spend on eighteen pieces are some weird trance positional
- 02:23
thing but we didn't do that so the answer is
- 02:26
right there okay good we're done
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