Solving word problems involving multiplicative comparison

- [Tutor] We're told, "This fall,

Ella baked 12 muffins

and 2 times as many cookies
for a school craft fair.

Next fall, she plans to
bake 3 times as many muffins

and 5 times as many cookies
to meet higher demand.

How many totaled baked goods

does Ella plan to make next fall?"

Pause this video and
try to do this yourself

before we do this together.

Okay, so now let's do this together.

There's two things that she's
baking, she's baking cookies.

Cookies, actually, lemme
start with the muffins

'cause that's the first
thing they mentioned.

She's baking muffins, and
I'll do it in another color,

and she's baking cookies.

And then there is this fall,

there is This Fall,

and then there is next fall, Next Fall.

So this fall, we know that
Ella baked 12 muffins.

So 12 muffins, and 2
times as many cookies,

2 times as many cookies,

so how many cookies is that going to be?

Well, it's going to be 12 times 2,

because it's two times as many,

so this is gonna be 24 cookies.

Now next fall, she plans to
make 3 times as many muffins,

3 times as many muffins.

So let's see, that's gonna be 3 times 12,

3 times 12, which is equal
to 36 muffins next fall

and 5 times as many cookies
to meet higher demand.

So it's gonna be 5 times

the number of cookies that she made,

and to be very clear,

they could have said 5
times as many cookies

as she made in the fall,

but I think that's somewhat there,

so let's see. so 5 times as
many cookies the next year,

so then that is 5 times the amount

that she is going to make
this fall, so 5 times 24.

And this is going to be
the same thing if you,

you might be able to do this in your head,

or you might say this is the same thing

as 5 times 20 plus 4,

which is going to be the
same thing as 5 times 20,

I'm just doing the distributed
property here, 5 times 20

plus, 5 times 4, 5 times 4,

which is going to be equal to 100.

And adding to that 20,

this is going to be equal to 120.

So then if you add up
the total to baked goods,

Ella plans to make next fall,

total baked goods for next fall,

that's going to be the number of muffins,

plus the number of cookies.

So it's going to be 120 plus 36,

which is equal to,

you could add this up, and you'd get 156.

0 plus 6 is 6, 2 plus 3 is 5,

and then you bring down that 100,

so we have 156 total
baked goods next fall.