calculating sales tax okay so the first
part that we're going to do is really is
we're going to calculate what it went
real with a real cost of something in so
when you see a tag that says 999 you
know it's not really going to be 999
it's going to be 9 99 plus tax depending
on what province you're in tax can be
different right so if those provinces in
Canada sales tax is added on to the
selling price of most articles that we
purchase to calculate the total amount
of money we spend in order to buy
something with sales tax we must
remember the following equation original
price plus the sales tax is equal to the
total cost so we need to figure out how
much money so we didn't figure out that
the tax might be thirteen percent right
some contacts is thirteen percent we'll
just throw in the number and there we
actually have to find out we have to
convert that percentage of the sales tax
into a dollar value okay so in other
words what we're going to do is we're
going to try to find the percent of a
number that's really what we're going to
find so let's look at the first sample
broth okay so a t-shirt from hollister
costs 2299 if the sales tax is thirteen
percent what is the total cost of this
t-shirt now we are dealing with word
problems in word problems you're going
to have the word from and it will be
worth more than just one mark so here's
where you can earn some marks without
having your chocolate so let's say you
didn't have one has apparently the
problem in this class and even in my
other period class what's important to
start any word problem is to list of the
information so where is my word of
advice read the word problem once
completely second time you read it try
to pull out information so what
information was the first bit of
information that comes up in the first
line
exactly so original price right so
original price is equal to 20 299 now
what's the next bit of information we're
giving exactly so sales tax equals
thirteen percent thirteen percent is
also equivalent to what what is
employing 13 0.13 put that over here
because what do you think's in between
there what do you think's in there 13
over 100 right so what is the total cost
of the t-shirt what is it asking us for
obviously thee know the total cost right
so what is the total cost do we know it
no that's what we try to find that's our
? right that's our ? or that's our x
value now because we have the original
price right what we can do okay what we
can do is do the following you take the
sales tax okay as a decimal value and we
are going to multiply it square brackets
just so we don't mistake that x tax with
the time symbol so we take the sales tax
as a decimal and we multiply it by the
original price right so what is the
sales tax as a decimal we've already
said it 0.13 we're going to multiply it
by the original price which is 2299 when
you throw it into your calculator
what do you get give me all the numbers
2.98 87 right now what does that mean
what is that exactly is that the price
so now I was then a 2299 t-shirt is now
two dollars and ninety eight seven
that's the tax right so what am I going
to have to do with this value what am I
going to have to do with this value add
it to the original price now am I going
to use that entire number what am I
going to do are you an American the
tuition did you know decimal number
because if this is the money not normal
thing exactly so we need to turn this
into a money value number right so what
numbers do I need to keep what numbers
do I need to keep printing to anything
else 99 anything else aight i need that
but what am I going to do then then I'm
going to look at the number here right
so what is now the the actual amount of
the text 299 so the tax is 299 so 299 is
going to be added to the original price
right because remember original price
plus the sales tax equals the total cost
so 2299 plus 2 99 any coin sentences
between the numbers is it's purely going
to them they're not always going to
match that way so what is the cost of
this t-shirt what is the cost of this
t-shirt 2598 what's missing dollars
right 25 ninety-eight dollars down there
is one more thing missing what's missing
statement right so there's a statement
missing so in terms of marks one mark
I'm going to be looking for listed look
at that no calculator needed list the
information next mark pretty much is
going to be rounding down this
to this 299 your final mark will be a
combined of your final price and you're
there for statement so if you miss one
of them you will lose one mark okay so
make sure you include everything so
therefore what's it would be a proper
therefore statement proper therefore
statement therefore the total price of
the t-shirt t-shirt is twenty-five
dollars and 98 cents sorry for kind of
squeezing it in there so make sure you
include a therefore statement why do we
include therefore statement what kind of
question is it am I giving it's a word
problem exactly so all word problems and
therefore statement so let's move on to
the the next the next one okay a sample
problem you want to purchase a 16
gigabyte ipod that's selling 45 4999 at
best buy you saved six hundred dollars
for the purchase if the sales tax is
thirteen percent again will you be able
to offer to purchase apps how much money
will you need to save before you can
purchase it now there it's really wordy
alright so like I said we read it once
and then we read it a second time to
extract the information but not all the
information is valuable right away right
so what better information do we come
across that's important right off the
bat right off the bend
ok so the original price is 5 49 89 now
16 gigabytes is a number but it's
important it's just a feature of the
ipad right next bit of information that
is valuable mera ok so the tax and we
can just write down tax 13 / sent to the
equivalent to 313 over 100 right because
remember when we did the percentages I
showed you guys the other way to do it
and I will show you that also today that
will come in handy which is equal to 0.1
three just like we did before right any
other information and any other
information so you saved 600 but is the
600 going to come into play right away
no because what are we going to need to
figure out first how much it actually
caught it's going to cost so we've saved
600 so what we're going to do is we're
going to keep that in mind put that off
to the side all right so remember this
kind of thing we want to.we because we
want to go back to see that because
really the question isn't asking is what
is the actual cost of the the iPad we
want to find out can we afford it so is
there going to be money left over in the
end so in reality yes we are trying to
find the total cost but the real
question comes up once we've found the
total cost so the total cost as we said
right the tax as a decimal as a decimal
x the original price
so the tax as a decimal 0.13 x the
original cost 500 4999 what do we get we
multiply 4 9 8 7 so this is what units
do that does that represent what units
is that represented the tax rate so it's
money value so how much of that do I
need though how many of these digits do
I need what do I need print 4871 and the
49 we look at the number right after it
and it becomes exactly 71 dollars and
fifty cents this is the tax some people
will write that down and say this is the
cost of the ipad how is it that you pay
tax which is supposed to increase the
value and it becomes cheaper okay so
think of the logic with some of these
word problems as well when you're
working on your answer so 70 150 we're
going to add that to what we're going to
take this value we're going to add it to
one the original price so 5 49 99 plus
70 150 what is the
621 point forty nine dollars right now
what do you have how much money have you
saved six hundred can we give me just by
looking at can we afford it no we can't
not yet so how much more do I need to
save how do I figure that out how do I
figure that out exactly so I'm going to
take this value of what the end the cost
of the the ipad or the ipad is with tax
and i subtracted by 600 what will I get
well again 21.4 9 so what does that mean
and it's in there for statement you know
therefore statement therefore exactly
therefore I will have to save $21 49
the purchase so obviously we can't
figure it out but we can think of it a
go I saved 600 bucks right the ipad is
five hundred forty nine dollars i should
be able to afford it and you get there
and apples like well the total is 621 49
49 really but i only have 600 bucks well
you don't have an ipad come back when
you have a 2149 so it's really important
this is how you can figure out whether
or not you can actually afford an item