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?

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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

00:28

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

00:55

from both sides and we get to well is one

00:57

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

01:11

the left side of an combined like term So gives

01:14

us this whole mess here Two Fifty six minus for

01:16

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

01:19

three Yes or is that too Oh eight subtract two

01:22

fifty six from both sides and we get negative Three

01:26

yeses too late minus two fifty six or negative forty

01:29

eight and then finally divide both sides by negative three

01:32

To find that ass are small picture here is sixteen

01:35

or a set of different way of small picture Hold

01:38

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