ratios percentages - chance

ACT Math

Ratios

What is a ratio?

A ratio means that for every amount of one thing,

A ratio means that for every amount of one thing,

1 hat

A ratio means that for every amount of one thing,

there is an amount of another thing.

1 hat

A ratio means that for every amount of one thing,

there is an amount of another thing.

1 hat

3 shirts

A ratio means that for every amount of one thing,

there is an amount of another thing.

1 hat

3 shirts

That means the

ratio between

hats and shirts is

1:3

Once again:

A ratio means that for every amount of one thing,

A ratio means that for every amount of one thing,

2 eggs

A ratio means that for every amount of one thing,

there is an amount of another thing.

2 eggs

A ratio means that for every amount of one thing,

there is an amount of another thing.

2 eggs

4 bacon

A ratio means that for every amount of one thing,

there is an amount of another thing.

2 eggs

4 bacon

That means the

ratio between

eggs & bacon is

2:4

For example – if I say that the ratio between Mormons and Catholics is 1:3

That means that for every sMormon there are 3 Catholics.

That means that for every 1 Mormon there are 3 Catholics.

1 LDS =

That means that for every 1 Mormon there are 3 Catholics.

1 LDS 1 2 3 Catholics=

If I say that the ratio between Mormons and Catholics is 1:2

That means that for every 1 Mormon there are 2 Catholics.

That means that for every 1 Mormon there are 2 Catholics.

1 LDS =

That means that for every 1 Mormon there are 2 Catholics.

1 LDS 12

Catholics=

So, what does the ratio 3:4 between copies of the Book of Mormon and copies of the Bible mean?

So, what does the ratio 3:4 between copies of the Book of Mormon and copies of the Bible mean?

Answer?

So, what does the ratio 3:4 between copies of the Book of Mormon and copies of the Bible mean?

Answer:For every three copies of the Book of Mormon

So, what does the ratio 3:4 between copies of the Book of Mormon and copies of the Bible mean?

Answer:For every three copies of the Book of Mormon

So, what does the ratio 3:4 between copies of the Book of Mormon and copies of the Bible mean?

Answer:For every three copies of the Book of Mormon

There are four copies of the Bible

If you know the ratio and the actual amount of something you can find out how much of the other thing there is.

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

All you do is take the 2:3 and turn it into a fraction:

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Then match the top ratio number (numerator) with the actual number

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

And then the bottom number ratio (3) with it’s number. But in this case we don’t know that number so we put X

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

And then the bottom number ratio (3) with it’s number. But in this case we don’t know that number so we put X

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

And then the bottom number ratio (3) with it’s number. But in this case we don’t know that number so we put X

=

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Let’s use algebra to solve it:=

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by X=

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by X=X* *X

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by X=X*

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by X=X

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by 3=X3*

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by 3=X3* *3

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by 3=X3* *3

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by 3 =X *3

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Multiply both sides by 3 =X

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Divide both sides by 2 =X2 2

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Divide both sides by 2 =X2 2

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Divide both sides by 2 =X

Let’s go back to the question

Let’s go back to the question

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

Let’s go back to the question

If the ratio of hats to shirts is 2:3 and there are 20 hats, how may shirts are there?

30 shirts