Ratios and Proportions Word Problems

1. Ratios and ProportionsWord Problems

2. 1. The ratio of males to females at a certain university is 8 to 1. If there are 11,016 females at the university, how many males are there?[A] 88,128 [B] 12,393 [C] 11,016 [D] 99,144

3. 2. Two machines can complete 7 tasks every 3 days. Let t represent the number of tasks these machines can complete in a 31-day month. Select the correct statement for the given conditions. [A] 31 = t[B] 7 = t [C] 3 = t[D] 3 = t 14 3 3 31 31 7 7 31

4. 3. Write as a proportion: 7 is to 5 as 21 is to x.[A] x = 5 [B] 5 = 21[C] 7 = 21 [D] x = 15 7 21 7 x 5 x 4. A car travels 80 miles on 4 gallons of gas. How many gallons will it need to travel 520 miles? [A] 28 gallons [B] 0.6 gallon [C] 25 gallons [D] 26 gallons

5. 5. 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 108°C? (Assume surface temperature is 0°C.) [A] 36 m [B] 360 m [C] 25.0 m [D] 3600 m 6. If 2 cans of tomatoes cost $1.68, how many cans of tomatoes can you buy for $10.08? [A] 11 [B] 5 [C] 12 [D] 24

6. 7. A 21-oz bottle of popcorn oil sells for $1.34. A 63-oz bottle of popcorn oil sells for $3.26. Which is the better buy? [A] both are equally good buys [B] the 63-oz bottle [C] the 21-oz bottle [D] cannot tell from the information given

7. 8. A map has a scale of 5 cm = 10 km. If two cities are 6 centimeters apart on the map, what is the actual distance between the two cities to the nearest tenth of a kilometer? [A] 12 km [B] 3 km [C] 8.3 km [D] 30 km 9. A cook has a recipe that serves 15 people and calls for 4 pounds of beef. If the cook wants to serve 60 people using the same recipe, how much beef will he need? [A] 16 lb [B] 8 lb [C] 20 lb [D] 12 lb

8. 10. If 5 boxes of mints cost $16.00, how much do 8 boxes of mints cost? [A] $32.00 [B] $22.40 [C] $28.80 [D] $25.60 13. A map has a scale of 7 cm to 2 km. Which proportion would not allow you to find the actual distance between two cities if they are 5 cm apart on the map? [A] 7 = 2 [B] 7 = 5 [C] 7 = x[D] 2 = x 5 x 2 x 5 2 7 5

9. 11. On a blueprint, the scale indicates that 8 centimeters represent 20 feet. What is the length of a room that is 17.6 centimeters long and 9 centimeters wide on the blueprint? 17.6 cm 9 cm [A] The room is 7 feet long. [B] The room is 44 feet long. [C] The room is 22.5 feet long. [D] The room is 17.6 feet long.

10. 16. Mr. Jones has taken a survey of college students and found that 40 out of 42 of them were liberal arts majors. If a college has 8474 students, how many students would probably be liberal arts majors? Round your answer to the nearest whole number. [A] 8070 [B] 2690 [C] 4035 [D] 44

11. 21. Two pounds of grass seed will cover 110 square feet. Let p represent the number of pounds of seed needed to cover 750 square feet. Select the correct statement of the given condition. [A] 2 = p [B] 110 = p [C] 2 = 750 [D] 110 = p 110 750 4 750 110 p 750 2

12. 22. The area of a set of rectangular pictures is held constant while the length and width may change. If the length is 12 when the width is 4, select the statement of the condition when the width is 6. [A] 6 = L [B] 6 = L [C] 4 = L 4 12 12 4 24 6 [D] none of these

13. 28. There is a law stating that the ratio of the width to length for the American flag should be 10 to19. Which one of the following sets of dimensions is not in the correct ratio? [A] 40 by 76 ft [B] 50 by 95 in. [C] 20 by 38 ft [D] 50 by 102 ft

14. 29. A survey indicated that 5 out of 9 doctors used brand X aspirin. If 5400doctors were surveyed, how many used brand X? [A] 1080 [B] 2400 [C] 3000 [D] 600