Name:    Lesson 3.6: Using Equivalent Ratios to Solve Problems

1.

In Northdale, 1 out of every 6 homes recycles bottles. There are 150 homes in the area. How many homes recycle bottles?
 a. 150 b. 25 c. 75 d. 100

2.

Last week Brian stopped 45 of 55 shots on goal. So far this week, he has faced 33 shots. Using Brian’s ratio from last week, how many shots has he stopped?
 a. 18 b. 9 c. 24 d. 27

3.

The local conservation authority has determined that last year 760 fish were caught in Little Lake. Of these, 570 were released back into the lake. So far this year, 528 fish have been caught. How many have been released?
 a. 408 b. 396 c. 438 d. 372

4.

Last year 12 640 fish were caught in Bear Lake. Of these, 2528 were trout. This year, 10 350 fish were caught in Bear Lake. How many are expected to be trout?
 a. 2070 b. 2010 c. 1080 d. 1650

5.

Michelle noticed that the ratio of the number of customers that ordered coffee to those that ordered tea in her café last week was 7 : 3. If 120 customers came to her café this week, how many ordered coffee?
 a. 72 b. 28 c. 84 d. 96

6.

How many customers, from question 5, ordered tea?
 a. 21 b. 36 c. 27 d. 42

7.

A local radio station plays 3 commercials for every 5 songs it plays. How many songs were played if 165 commericals were played?
 a. 335 b. 185 c. 255 d. 275

8.

The ratio of men to women at the library was 5 : 8. If there are 104 people at the library, how many are men?
 a. 40 b. 25 c. 65 d. 50

9.

How many women are in the library from question 8?
 a. 32 b. 76 c. 54 d. 64

10.

In a box of marbles, the ratio of red to blue to yellow is 2 : 5 : 3. If there are 60 marbles in a bag, how many of each colour are there?
 a. 10 red, 34 blue, and 12 yellow c. 12 red, 30 blue, and 18 yellow b. 32 red, 18 blue, and 8 yellow d. 15 red, 24 blue, and 15 yellow