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Playlist Solving Equations and Inequalities 11 videos
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Solving Equations with Variables on Both Sides Example 16950 Views
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Description:
Transcript
- 00:00
Thank you multistep equations with variables on both sides ah
- 00:07
la shmoop running the reindeer has always tried to follow
- 00:10
in the footsteps of his brother rudolf every year rudolph
- 00:14
by santa and expensive new hat out of the goodness
- 00:18
of his heart rudolph gives running exactly half his cash
Full Transcript
- 00:22
so they'll have the same amount to spend on christmas
- 00:25
gifts on the way to the sugar plum all acute
- 00:28
victim recognizes rudolph and offers to give him seven dollars
- 00:32
to take a photo with he and his famous knows
- 00:35
rudolph doesn't want running to feel left out so he
- 00:37
pays the vixen two dollars to take a photo with
- 00:40
running in his slightly less famous schnoz Well rudolph even
- 00:43
asked the vixen teo give the seven dollars to running
- 00:46
instead we'll check out running has exactly enough money to
- 00:49
purchase two hats while rudolph has exactly enough to buy
- 00:53
one Can you determine the price of one of these
- 00:57
hats Hoof a lot of information Well it'll help to
- 01:00
be able to solve this sort of problem however because
- 01:02
the type of situation that pops up a lot in
- 01:04
real life first we need to determine the variable we're
- 01:07
going to use way don't know how much money each
- 01:09
reindeer started with but we do know that they started
- 01:12
with the same amount since the problem tells us that
- 01:15
rudolph gave half is cash to running before they headed
- 01:19
out So let's call their starting cash ex same for
- 01:22
both Then rudolph gave two dollars to the cute vixen
- 01:26
so ex minus two running on the other hand received
- 01:30
seven dollars from his fangirl So x plus seven goes
- 01:34
there However we're also told that running is able to
- 01:37
buy twice as many hats Is rudolph after this little
- 01:40
exchange which means that we'd have to multiply the expression
- 01:43
for rudolph by two has set he's equal to one
- 01:47
another So two times the quantity x minus two equals
- 01:51
x plus seven multiplying that two on the left hand
- 01:54
side we get to x minus four equals x plus
- 01:57
seven Of course we want to get x by itself
- 02:00
so we know how much cash all of these guys
- 02:02
started with so we can subtract x from both sides
- 02:05
to get x minus four equals seven then had four
- 02:08
to each side to get x equals eleven And there
- 02:11
we have it Each ranger started their shopping trip with
- 02:14
eleven bucks but that's not what the questions asking We
- 02:18
know that rudolph gave away two dollars and still had
- 02:20
exactly enough money to buy one hat itself He started
- 02:24
with eleven bucks and gave way to box leaving himself
- 02:26
with nine box Then each hat must run nine dollars
- 02:31
on the button We can double check to see if
- 02:33
that's correct by plugging the same number in the runnings
- 02:35
equation We started with eleven dollars and the vixen gave
- 02:38
him another seven giving him eighteen dollars total And sure
- 02:42
enough eighteen divided by nine is too meaning Running would
- 02:45
have had exactly enough cash to buy two hats It's
- 02:49
like santa has a new favorite this year This allergy 00:02:52.87 --> [endTime] season strikes
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