ratios percentages - chance

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ACT Math Ratios

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Ratios

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Page 1: Ratios   percentages - chance

ACT Math

Ratios

Page 2: Ratios   percentages - chance

What is a ratio?

Page 3: Ratios   percentages - chance

A ratio means that for every amount of one thing,

Page 4: Ratios   percentages - chance

A ratio means that for every amount of one thing,

1 hat

Page 5: Ratios   percentages - chance

A ratio means that for every amount of one thing,

there is an amount of another thing.

1 hat

Page 6: Ratios   percentages - chance

A ratio means that for every amount of one thing,

there is an amount of another thing.

1 hat

3 shirts

Page 7: Ratios   percentages - chance

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

Page 8: Ratios   percentages - chance

Once again:

A ratio means that for every amount of one thing,

Page 9: Ratios   percentages - chance

A ratio means that for every amount of one thing,

2 eggs

Page 10: Ratios   percentages - chance

A ratio means that for every amount of one thing,

there is an amount of another thing.

2 eggs

Page 11: Ratios   percentages - chance

A ratio means that for every amount of one thing,

there is an amount of another thing.

2 eggs

4 bacon

Page 12: Ratios   percentages - chance

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

Page 13: Ratios   percentages - chance

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

Page 14: Ratios   percentages - chance

That means that for every sMormon there are 3 Catholics.

Page 15: Ratios   percentages - chance

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

1 LDS =

Page 16: Ratios   percentages - chance

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

1 LDS 1 2 3 Catholics=

Page 17: Ratios   percentages - chance

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

Page 18: Ratios   percentages - chance

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

Page 19: Ratios   percentages - chance

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

1 LDS =

Page 20: Ratios   percentages - chance

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

1 LDS 12

Catholics=

Page 21: Ratios   percentages - chance

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

Page 22: Ratios   percentages - chance

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

Answer?

Page 23: Ratios   percentages - chance

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

Page 24: Ratios   percentages - chance

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

Page 25: Ratios   percentages - chance

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

Page 26: Ratios   percentages - chance

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

Page 27: Ratios   percentages - chance

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

Page 28: Ratios   percentages - chance

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:

Page 29: Ratios   percentages - chance

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

Page 30: Ratios   percentages - chance

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

Page 31: Ratios   percentages - chance

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

Page 32: Ratios   percentages - chance

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

=

Page 33: Ratios   percentages - chance

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:=

Page 34: Ratios   percentages - chance

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=

Page 35: Ratios   percentages - chance

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

Page 36: Ratios   percentages - chance

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*

Page 37: Ratios   percentages - chance

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

Page 38: Ratios   percentages - chance

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*

Page 39: Ratios   percentages - chance

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

Page 40: Ratios   percentages - chance

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

Page 41: Ratios   percentages - chance

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

Page 42: Ratios   percentages - chance

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

Page 43: Ratios   percentages - chance

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

Page 44: Ratios   percentages - chance

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

Page 45: Ratios   percentages - chance

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

Page 46: Ratios   percentages - chance

Let’s go back to the question

Page 47: Ratios   percentages - chance

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?

Page 48: Ratios   percentages - chance

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