TSI Math: Creating and Solving a System of Equations from a Word Problem
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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 Assessment TSI Math TSI Mathematics |
TSI Math | Elementary Algebra and Functions |
TSI Mathematics | Elementary Algebra and Functions |
Test Prep | TSI |
Transcript
twenty eight ounces How many ounces does a small picture
hold What All right Well let's just use big l
to represent the capacity of a large picture and big
ass to represent capacity of a small picture problem tells
us that for l plus esses to await and too
well Plus two esses won twenty eight that's the big
equation If you got that right Probably going to get
this question right If you guess that we need to
solve this system of equations for asked Well then you
guessed right That's what we're doing here So what do
we do We first isolate eldin the second equation We
chose this equation because it lets us isolate l without
ending up with any fractions Right So subtract two ass
from both sides and we get to well is one
twenty eight months to s and just divide both sides
by two And we get tau ellis sixty four minus
s what Plug it in for ellen The first equation
We get four times quantity sixty four minus ass right
there plus s all that equals to await Distribute on
the left side of an combined like term So gives
us this whole mess here Two Fifty six minus for
us Plus asked and that's just two fifty six minus
three Yes or is that too Oh eight subtract two
fifty six from both sides and we get negative Three
yeses too late minus two fifty six or negative forty
eight and then finally divide both sides by negative three
To find that ass are small picture here is sixteen
or a set of different way of small picture Hold
sixteen ounces It's basically one big gulf force one the 00:01:42.147 --> [endTime] old man's bladder where's the restaurant