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TSI Math: Creating and Solving a System of Equations from a Word Problem 15 Views
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Description:
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?
Transcript
- 00:02
Okay sy mash members that's a hot summer day we've
- 00:05
got a lot of lemonade being poured here Just read
- 00:07
the questions for large pictures and one small picture Hold
- 00:10
a total of two hundred eight ounces to large pitchers
- 00:13
and two small pictures hold a total of one hundred
Full 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
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