# 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 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