Two step word problem (double subtraction)

- [Instructor] We're told a
movie theater has 614 seats.

137 seats are red, 228 seats are yellow.

The rest of the seats are green.

How many seats in the theater are green?

Pause this video and see
if you can figure that out.

Well, let's first visualize
this a little bit.

So we have 137 seats that are red.

I'll use a little strip here to show 137.

Then we have 228 seats that are yellow.

So I'm approximating, let's call that 228.

228 that are yellow.

And then we have some
number that are green.

The rest of them are green.

So I will put a question mark here.

And we know that the total
number of seats is 614.

They tell us that right over there.

Lemme do that in that another
color right over here.

The total number of seats is 614.

So what is going to be
the number of green seats?

Well, you could take the total 614

and if you subtract 137

and you subtract 228, then you'll be left

with this little green part.

So we need to subtract
137 and subtract 228

to get to the number of green seats.

So let's do this.

And we could do 614 minus 137 first.

And to do that, I am going
to actually break out 614.

You can think about it breaking
into their place values.

We have six hundreds, which I
could view as 600 plus one 10,

which is the same thing as 10, plus four.

That's 614. And I wanna subtract 137.

Well, that's the same thing
as subtracting a hundred,

subtracting 30, and subtracting seven.

And so what would this be equal to?

Well, I could go to the one's place.

Well, I can't subtract seven from four.

So let me see if I can
regroup a little bit.

Let's see if I took 10
from the tens place.

So if this becomes zero right over here,

so I have nothing there.

But then I take that 10,
put it here, I get 14.

And now, I can figure out 14 minus seven

is equal to seven.

Now, I have a problem in the
tens place right over here.

Zero minus 30, I can't do that.

So let me take a hundred
from the hundreds place.

So let me take a hundred outta here.

So this is gonna be 500.

And let me put that a hundred over here.

So I have a hundred.

Now, I can do a hundred
minus 30 is equal to 70.

And then I have 500 minus
100, which is equal to 400.

So 400 plus 70 plus seven, which is 477.

That's just this part
right over here is 477.

And now, I have to subtract 228,

and I could do the same thing.

I could expand out 477,

that's 400 plus 70 plus
seven, four hundreds,

seven tens, seven ones.

And I'm going to subtract
two hundreds minus 200,

two tens minus 20, that's
two tens here, minus eight.

I'm subtracting out this
whole, all the parts of it.

And so what is that going to be equal to?

Well, same idea. I can't
subtract eight from seven.

So let me take 10 from the tens place.

So if I take 10 from here, this becomes 60

and I put that 10 here, this becomes 17.

And so if I have 17 minus eight is nine,

60, minus 20 is 40, and
400 minus 200 is 200.

So I have 200 plus 40
plus nine, that is 249.

And I should've made this bigger

if I wanted to actually make it to scale,

but that's how many of the
seats are actually green.