Lesson 2.1: Using Proportions to Solve Ratio Problems

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Extra Practice 1

Lesson 2.1: Using Proportions to Solve Ratio Problems

1. Find each missing term.
a) x:8 = 9:24 b) y:15 = 7:3
c) a:8 = 9:4 d) =
e) = f) =
2. Belinda jogged 1.5 km, then walked 500 m.
Write the ratio of distance jogged to distance walked in simplest form.
3. An advertisement claims that 7 out of 8 people prefer Brand X.
Suppose 216 people were interviewed.
Find the number of people who prefer Brand X.
4. The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
5. A ski shop rents 5 snowboards for every 3 sets of skis it rents.
Suppose 126 sets of skis were rented.
How many snowboards were rented?
6. For a painting, the ratio of the length to the width is 5:3.
The painting is 45 cm wide.
How long is the painting?
7. The ratio of the number of students who take trumpet lessons to clarinet lessons is 6:5.
The ratio of the number of students who take piano lessons to trumpet lessons is 8:3.
Ten students take clarinet lessons.
a) How many students take trumpet lessons?
b) How many students take piano lessons?

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3. a) About 26%; $1265.00

b) About 12%; $57.49

4. a) $360.00 b) $414.00

5. $99.99

6. a) $25 500 b) $399 500 c) $4250

7. Choice A: $1062.50 before taxes
Choice B: $1050 before taxes
Choice B is the better deal.

Extra Practice 7 – Master 2.25

Lesson 2.7

1. a) $36.00 b) $360.00

c) $68.40 d) $2400.00

2. a) $48; $1248 b) $30; $830

c) $675; $8175 d) $666.67; $50 666.67

3. a) $2400 b) $173.33

4. $2600

5. $3971.25

6. a) $300 b) $3300