11.a Ratios

Question 1

If there are 4 cats, and 3 dogs, how would you express the ratio of dogs to cats?

Answer 1

3:4

3 to 4

Question 2

What are the ways in which a ratio can be expressed?

Answer 2

Question 3

If there are 5 apples, and 10 oranges, how would you express the ratio of apples to oranges?

Answer 3

5/10
(divide both sides by 5)

1/2
1 to 2

Question 4

What does a ratio of 1 to 2 mean?

Answer 4

For every apple at the fruit stand, there are 2 oranges

Question 5

What is an equivalent ratio?

Answer 5

A ratio that can be multiplied (or divided) to be the same ratio

Question 6

Are 6 to 15, and 2 to 5, equivalent ratios?

Answer 6

YES!

6 : 15
2 : 5 (x3) = 6 : 15

Question 7

Solve:

Answer 7

Question 8

If there are 4 cats, and 3 dogs, how would you express the ratio of dogs to all animals?

Answer 8

All animals = 4 + 3 = 7

Ratio = 3 dogs : 7 animals,

3 : 7

Question 9

A ratio only portrays a ______________ between quantities, it does NOT provide _____________

Answer 9

A ratio only portrays a RELATIONSHIP between quantities, it does NOT provide ACTUAL QUANTITIES

Question 10

Solve:

Answer 10

Question 11

The actual numbers of boys andf girls are multiples of 4 and 3, respectively. How would you express the boy to girl ratio?

Answer 11

4x : 3x

(where x is the RATIO MULTIPLIER)

Question 12

What are the two ways in which we could figure out the ratio multiplier?

Answer 12

1) We are provided with the QTY of one of the items in the ratio

2) We are given the sum of all items in the ratio

Question 13

Solve:

Answer 13

Question 14

Do ratio multipliers have to be integers?

Answer 14

NO! They can be decimal numbers!

Particularly in cooking/ baking/ chemistry questions

Question 15

[ATTENTION]

How would you do this?

Answer 15

Question 16

What is a useful and a non-useful ratio?

Answer 16

A useful ratio is one where a single ratio can be found. A non-useful ratio is one in which different variables result in entirely different ratios.

Question 17

Is 4/m a useful ratio?

Answer 17

NO!

4/m is not a useful ratio as a different value of m changes the ratio entirely

Question 18

Is 5m/m a useful ratio?

Answer 18

Yes!
This yields the ratio of 5:1, regardless of the value of m

Question 19

Which of these two equations is a useful ratio?

Answer 19

The left one, as it would always be 3 : 2

Question 20

A meaningful ratio has to be a _____________ fraction

Answer 20

A meaningful ratio has to be a CONSTANT fraction

Question 21

How could you combine two 2-part ratios?

Answer 21

If the connecting variable and value is the same in both… its easy!

Question 22

How would you solve this?

Answer 22

Multiply (by LCM)