# Ratio Porportion Percent

Ratio Porportion Percent

1. 1. The ratio of students to teachers in a school with 1200 students and 50 teachers.

Solution

students/teachers

1200/50

reduce

24

So the ratio of students to teachers is 24 students to 1 teacher

1. The ratio of men to women at a college with 1500 men and 1800 women.

Solution

women/men

1500/1800

reduce

5/6

So the ratio of men to women is 5 men to 6 women

1. The ratio of tin to copper in an alloy that contains 48 kg of copper and 32 kg of tin.

Solution

tin/copper

48/32

reduce

3/2

So the ratio of tin to copper is 3 tin to 2 copper.

1. The ratio of wins to losses on 40 games with 15 losses and no ties.

Solution

wins/losses

40/15

reduce

8/3

So the ratio of tin to copper is 8 wins to 3 losses.

1. The ratio of advertising time to nonadvertising time in a one-hour TV show that includes 8 minutes of ads.

Solution

60/8

reduce

15/2

1. The ratio of the area of a rectangle with sides 8 cm and 12 cm to the area of a square with sides 10 cm.

Solution

area of a rectangle / area of a square

First find the area of the rectangle.

8 times 12 = 96

And now the area of the square.

10 times 10 = 100

Now back to the area of the rectangle(96) / area of a square(100)

96/100

reduce

24/25

So the ratio of the area of a rectangle to area of a square is 24/25

1. A car traveled 500 miles on 25 gallons of gas. (mpg)

Solution

miles / gallons

500/25

reduce

20/1

So the ratio of miles to gallons is 20 miles to 1 gallon.

1. Frank typed 90 words in 4 minutes. (wpm)

Solution

words / minutes

90/4

reduce

45/2

So the ratio of words to minutes is 45 miles to 2 minutes.

1. A jet traveled 1000 miles on 2.5 hours. (mph)

Solution

miles / hours

1000 / 2.5

reduce

400/1

So the ratio of miles to hours is 400 miles to 1 hour.

1. A gear revolved 480 times in 15 minutes. (rpm)

Solution

revolution / minutes

480/15

reduce

32/1

So the ratio of revolutions to minutes is 32 revolutions to 1 minute.

1. Juan ran 600 meters in one minute 20 seconds. (meters per second)12. Osgood ate 9 hamburgers in half an hour. (hamburgers per minute)

13. Mary Thon ran 26 miles in 2 hours 40 minutes. (minutes per mile to the nearest tenth)

14. Two numbers are in the ratio 5 : 2 and their sum is 56. Find the numbers.

2. Find two numbers whose ratio is 3 : 7 and whose sum is 150.
3. 16. A certain color is made by blending red paint and blue paint in a 9 : 4 ratio. How many liters of each are needed to make 65 liters of this color paint?
4. 17. A commission of \$1,000 is to be divided between two people in a 3 : 5 ratio. How much should each person receive?
5. 18. Three numbers are in a 2 : 3 : 5 ratio and their sum is 70. Find the numbers.
6. 19. The sum of the angle measures of any triangle is 180 degrees. Find the three angle measures of a triangle if they are in an 8 : 3 : 4 ratio
7. 20. A grass seed mixture contains bluegrass, ryegrass, and fescue seeds in a 4 : 3 : 1 ratio. How many ounces of each seed are contained in a 3 pound (48 ounce) box of the mix?
8. A market carries five flavors of ice cream. They sell in approximately a 2 : 2 : 3 : 6 : 7 ratio. How many cartons of each should be stocked if there is space for 80 cartons?

22.The width and length of a rectangular poster are in a 2 : 3 ratio. The perimeter of the poster is 160 cm. Find its dimensions.

1. 23. If there are 560 calories in 8 ounces of meat, how many calories are in 3 ounces of meat?
2. If 2 cubic feet of sawdust weigh 25 pounds, how much do 9 cubic feet of sawdust weigh?
3. 25. A certain hose delivers 5 gallons of water in 24 seconds. How much water will the hose deliver in 10 minutes?
4. 26. The ratio of the weight of an object on Mars to its weight on Earth is 9 to 25. If a person weighs 120 pounds on Earth, how much would the person weigh on Mars?
5. 27. A flagpole casts a shadow 8.5 meters long. If an algebra student 1 .6 meters tall casts a shadow 2.0 meters long at the same time and location, how tall is the flagpole?
6. 28. A U.S. nickel is composed of 3.9 grams of copper and only 1 2 grams of nickel. How many kilograms of copper must be combined with 4 kilograms of nickel in the manufacture of nickel coins?
7. 29. At a certain college, the ratio of men to women is 6 to 5. If there are 2580 men, how many women are there?
8. 30. In a town of 30,000 households, a survey was taken to estimate the number of households in which a certain TV program had been viewed. Of the 200 residences surveyed, the program had been seen in 64. Assuming that this was a representative sample, estimate the total number of households in the town in which the program was viewed.