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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

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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