Ratio and Proportion Problems

1) If Rob makes three times as much money as Ray, and Roy makes $3 more than twice as much as Ray, what is the ratio of Rob’s earnings to Roy’s earnings if the earnings for all three total $21? Does that ratio change if the total earnings of the three are $42?

2) A bag contains 6 blue marbles, 2 red marbles, and 12 green marbles. What is the ratio of green marbles to blue marbles? What is the probability (express your answer as a %) of reaching into the bag without looking and pulling out a green marble if no other marbles have been removed.

3) If you can purchase 3 tomatoes for 89 cents, at this rate how many tomatoes can you buy with $50?

4) A statue in the park cast a twelve foot shadow. If a yardstick is placed next to the statue and it casts a shadow of 18 inches at the same time of day as the shadow of the statue is measured, how tall is the statue?

5) Three people share the grand prize in a raffle in a ratio of 1:3:4. If the person who receives the most money in this relationship gets $ $12,000,000 as his share, how much money does the person who receives the second most amount get? How much was the grand prize? Using the ratio above, how much would each person get if they shared a total of $64,000 in winnings?

6) A maintenance person uses a cleaning solution which consists of 3 quarts of concentrated cleaner added to 3 gallons of water. If he wants to make a solution of cleaner using 2 gallons of the concentrate, how much water should he add to the solution?

7) John can fold 3 boxes every 2 minutes. At this rate, if he starts at 11:15 AM and continues folding boxes nonstop until 1:45 PM, takes a 45 minute break before resuming folding boxes, what time can he stop working if he wants to fold a total of 375 boxes.

8) Jill wants to enlarge a photo that is 3” X 5” using a square sheet of photo paper that has an area of 225 square inches. How many times larger can she make the original photo with the same length to width ratio?

9) On a map, the scale shows that 1” represents 80 miles. If you are traveling at an average rate of 45 miles per hour between two cities that are 2.25 inches apart on the map, how long would your trip take?

10) There are 2 pints in a quart, and 4 quarts in a gallon. How many pints are there in 4.25 gallons?

11) What is the ratio of the area of a circle with an 8” radius to the radius of a circle with a 2” radius? You will need to know the equation for the area of a circle to work this problem.