Ratios

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Ratios
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Rates
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Solving Proportions
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Proportions Scale Drawings
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Percents, Decimals, Fractions
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Finding a Percent of a Number
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Rates
Percents,Decimals, Fractions
Finding a Percent of a Number
Solving Proportions
Proportions Scale Drawings
Ratios
100
100
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200
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500
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Write the ratio two other ways
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512 5 to 12
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Write the ratio in simplest form
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Complete the following statement

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X 2
7 x 6 42
42 21 2
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What is the ratio of counselors to campers
in simplest form?
Counselors 2 3 x
Campers 16 24 32
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1 8
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Solve for x
Counselors 2 3 x
Campers 16 24 32
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32 x 2 64
64 16 4
x 4
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and
Are these rates equivalent?
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36 x 5 18090 x 2 180Yes, these rates are
equivalent
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Solve for y
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16 x 3 48
48 4 12
y 12 oz.
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and
Are these rates equivalent?
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8 x 3 2412 x 4 48No, these rates are not
equivalent
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Solve for the unit rate20 words read in 5
minutes
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20 x 1 20 20 5 4
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A 12 oz. tub of popcorn costs 3. A 20 oz. tub
of popcorn costs 4. Which size is the better
buy?
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3 x 1 3 3 12 .25

4 x 1 4 4 20 .20
The 20 oz. tub is the better buy because it costs
.20 for 1 oz.
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Do these ratios form a proportion?
?

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25 x 8 20010 x 20 200Yes, these ratios form
a proportion
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Do these ratios form a proportion?
?

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18 x 3 5412 x 5 60No, these ratios DO NOT
form a proportion
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Solve the proportion

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20 x 12 240 240 4 60 So, x 60
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Solve the proportion

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36 x 10 360360 24 15So, g 15
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You and a friend got the same grade on your
quizzes. You got 6 out of 8 questions
correct. If your friends quiz had 12 questions
on it, how many did your friend get correct?
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12 x 6 72 72 8 9 So, q 9. Your friend got
9 out of 12 questions correct.
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If I have a scale of 1 in. 3 ft., find the
actual length of a car if the length is 8 in. on
the scale drawing.
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8 x 3 24 24 1 24 The actual length of the
car is 24 ft.
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The perimeter of a drawing is 8 in. The
perimeter of the actual mural is 72 ft. What is
the ratio of perimeters?
30 ft.
3 in.
6 ft.
P 72 ft.
P 8 in.
1 in.
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(Perimeter of drawing)
(Perimeter of mural)
Simplify!
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The area of a drawing is 2 in.2 The area of the
actual mural is 200 ft.2 What is the ratio of
the two areas?
20 ft.
2 in.
1 in.
10 ft.
A 2 in.2
A 200 in.2
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2
(Area of drawing)
2
(Area of mural)
2
Simplify!
2
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A map uses the scale of 2 in. 50 mi. Find the
actual distance for the given distance 8 inches
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50 x 8 400 400 2 200 So, d 200 miles
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Find the ratio of drawings area to the gardens
area.
50 ft.
5 in.
40 ft.
4 in.
Drawing
Garden
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Area of drawing 5 x 4 20 in.2 Area of garden
50 x 40 200 ft.2
2
2

2
2
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You have 43 out of 100 marbles that are red.
Write this ratio as a percent, decimal, and a
fraction.
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43 .43
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Six out of 100 people like spiders. Write this
ratio as a percent, decimal, and a fraction.
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6 .06

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Change the following fraction into a percent
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100 x 3 300 300 25 12 So, your answer is 12
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Write the following decimal as a percent
0.08
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8
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Write the following decimal as a percent
0.4
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100 x 4 400 400 10 40 So, 0.4 40
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What is 25 of 60?
60
Decimal way .25 x 60 15
Fraction way
60 x 25 1500 1500 100 15
x
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The regular price of a DVD is 20. The sale
price is 15 off. How much money will you save?
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15 of 20 .15 x 20 3 You will save 3.
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The price for a Wii is 200. Target has them 40
off. What is the sale price?
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40 of 200 .40 x 200 80
You will save 80. To find the sale price 200
- 80 120
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You are buying a tire for your car that costs
49. There is a 6 sales tax. What is the total
amount of your purchase?
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6 of 49 .06 x 49 2.94 Your sales tax is
2.94
To find the total amount of your purchase. 49
2.94 51.94
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You are buying a new controller for your Wii that
costs 29. There is a 6.75 sales tax. What is
the total amount of your purchase?
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6.75 of 29 .0675 x 29 1.96 Your sales tax
is 1.96
To find the total amount of your purchase. 29
1.96 30.96
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Final Jeopardy
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