# TSI Math: Creating and Solving a System of Equations from a Word Problem

4 large pitchers and 1 small pitcher hold a total of 208 ounces. 2 large pitchers and 2 small pitchers hold a total of 128 ounces. How many ounces does a small pitcher hold?

 Elementary Algebra and Functions Word Problems and Applications Mathematics and Statistics Assessment Word Problems and Applications Product Type TSI TSI Mathematics and Statistics AssessmentTSI MathTSI Mathematics TSI Math Elementary Algebra and Functions TSI Mathematics Elementary Algebra and Functions Test Prep TSI

### Transcript

00:15

twenty eight ounces How many ounces does a small picture

00:18

hold What All right Well let's just use big l

00:26

to represent the capacity of a large picture and big

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ass to represent capacity of a small picture problem tells

00:31

us that for l plus esses to await and too

00:34

well Plus two esses won twenty eight that's the big

00:36

equation If you got that right Probably going to get

00:38

this question right If you guess that we need to

00:40

solve this system of equations for asked Well then you

00:44

guessed right That's what we're doing here So what do

00:46

we do We first isolate eldin the second equation We

00:49

chose this equation because it lets us isolate l without

00:52

ending up with any fractions Right So subtract two ass

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from both sides and we get to well is one

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twenty eight months to s and just divide both sides

00:59

by two And we get tau ellis sixty four minus

01:02

s what Plug it in for ellen The first equation

01:05

We get four times quantity sixty four minus ass right

01:07

there plus s all that equals to await Distribute on

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the left side of an combined like term So gives

01:14

us this whole mess here Two Fifty six minus for

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us Plus asked and that's just two fifty six minus

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three Yes or is that too Oh eight subtract two

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fifty six from both sides and we get negative Three

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yeses too late minus two fifty six or negative forty

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eight and then finally divide both sides by negative three

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To find that ass are small picture here is sixteen

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or a set of different way of small picture Hold

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sixteen ounces It's basically one big gulf force one the 00:01:42.147 --> [endTime] old man's bladder where's the restaurant