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SETTING UP and SOLVING RATIOS AND PROPORTIONS

- Ratio Comparison of 2 numbers by division.
- Ex. 12, ½, 1 to 2
- Proportion An equation stating that 2 ratios

are equal. - ab cd
- Extremes The last (or end) terms of a

proportion. - a and d are the extremes
- Means The middle terms of the proportion.
- b and c are the means

Ex 1

A geometry class consists of 13 males and

16 females. Find the ratio of females to

males. Find the

ratio of females to the entire class. There are

29 in the class.

Ex 2

The male to female ratio in Italy is

46 to 54. Express this ratio as a fraction in

reduced form.

To reduce fraction Math enter

enter

Ex 3

The approximate ratio of the circumference

(distance around) to diameter (distance across

the top) of an oil barrel is 95.83 inches to 30.5

inches. Express this ratio as a fraction in

reduced form.

To reduce fraction Math enter enter

Ex 4

A manufacturer can produce 1140 parts in 4

hours. What is the unit rate in parts per

hour?

Ex 5

Write the ratio as a rate in lowest terms 3.90

for 6 muffins

Ex 6

There is a law stating the ratio of the width to

length of the American flag should be 10 to 19.

Which is not the correct ratio?

Ex 7

Which of the following pairs of ratios do not

form a proportion? Which ones do?

Cross Multiply

Yes

Yes

Not a proportion

Yes

Set up and solve this proportion.

8) 5 is to 4 as 45 is to x.

5

45

Now cross multiply

____ ____

x

4

180

5x

5

5

36

x

First - Set up solve the proportion.

9) 3 is to 2 as x is to 18.

3

x

Now cross multiply

____ ____

18

2

54

2x

2

2

x

27

NO set up this time!!

Just solve..

10)

6x

144

6

6

x

24

You try it!!

11)

Now Reduce

16m

8

16

16

m

12) Mr. Jones has taken a survey of college

students and found that 40 out of 47 students are

liberal arts majors. If a college has 10,827

students, what is the number of students who are

liberal arts majors, rounded to the nearest whole

number?

First Set up Your proportion!

x

40

____ _______

10,827

47

433,080

47x

Now cross multiply

47

47

x

9214

13) Geothermal energy is heat from inside the

earth. Underground temperatures generally

increase 9C for every 300 meters of depth. How

deep would a well have to be for the temperature

to reach 216C ?

First Set up Your proportion!

9

216

____ _____

m

300

64800

9m

9

9

m

7200

14) A map has a scale of 1 cm 30 km. If two

cities are 11 cm apart on the map, what is the

actual distance between the two cities to the

nearest tenth of a km?

First Set up Your proportion!

11cm

1cm

____ _____

x

30km

330

1x

330 km

x

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