1. Proprotion Word Problems
More Word Problems

2. 1) 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! 40 x
____ = _______ 47
10,827
47x =
433,080
Now cross
multiply 47 47 x =
9214

3. 2) 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 7,510 students, what is the number of students who are liberal arts majors, rounded to the nearest whole number?
First – Set up
Your proportion! 40 x
____ = _______ 47
7,510
47x =
300,400
Now cross
multiply 47 47 x =
6391

4. 3) Geothermal energy is heat from inside the earth
3) Geothermal energy is heat from inside the earth. Underground temperatures generally increase 9°C for every 300 meters of depth. How deep would a well have to be for the temperature to reach 216°C ?
First – Set up
Your proportion! 9°
216°
____ = _____
300 m 9m =
64800 9 9 m =
7200

5. 4) Geothermal energy is heat from inside the earth
4) Geothermal energy is heat from inside the earth. Underground temperatures generally increase 9°C for every 300 meters of depth. How deep would a well have to be for the temperature to reach 150°C ?
First – Set up
Your proportion! 9°
150°
____ = _____
300 m 9m =
45000 9 9 m =
5000

6. 1cm 11cm 30km x 1x = 330 x = 330 km ____ = _____
5) 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!
1cm
11cm
____ = _____
30km x 1x =
330 x =
330 km

7. 3c 12cm x 20km 3x = 240 x = 80 km ____ = _____
6) A map has a scale of 3 cm = 20 km. If two cities are 12 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! 3c
12cm
____ = _____ x
20km 3x =
240 x =
80 km

8. Ex 7 Set up & Solve proportions
A regional forestry division wanted to estimate the number of deer in a particular national park. They caught and tagged 76 deer and released them back into the park. Later they selected a sample of 225 deer. Of these 225 deer, 15 were tagged. What is the best estimate of the number of deer in the park?

9. Ex 8 Set up & Solve proportions
A regional forestry division wanted to estimate the number of deer in a particular national park. They caught and tagged 55 deer and released them back into the park. Later they selected a sample of 203 deer. Of these 203 deer, 12 were tagged. What is the best estimate of the number of deer in the park?