Proprotion Word Problems More Word Problems

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

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

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

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

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

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

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?

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?