Solve the following problems using the strategies you have learned in this section. Use proportions and the Unknown Multiplier to organize ratios.
For problems #1–5, assume that neither x nor y is equal to 0, to permit division by x and by y.
48 : 2x is equivalent to 144 : 600. What is x?
x : 15 is equivalent to y to x. If y = 3x, what is x?
Brody’s marbles have a red to yellow ratio of 2 : 1. If Brody has 22 red marbles, how many yellow marbles does Brody have?
Initially, the men and women in a room were in the ratio of 5 : 7. Six women leave the room. If there are 35 men in the room, how many women are left in the room?
It is currently raining cats and dogs in the ratio of 5 : 6. If there are 18 fewer cats than dogs, how many dogs are raining?
The amount of time that three people worked on a special project was in the ratio of 2 to 3 to 5. If the project took 110 hours, how many more hours did the person who worked the most hours work than the person who worked the least hours?
A group of students and teachers take a field trip, such that the student to teacher ratio is 8 to 1. The total number of people on the field trip is between 60 and 70.
| Quantity A | Quantity B |
| The number of teachers on the field trip | 6 |
The ratio of men to women on a panel was 3 to 4 before one woman was replaced by a man.
| Quantity A | Quantity B |
| The number of men on the panel | The number of women on the panel |
A bracelet contains rubies, emeralds, and sapphires, such that there are 2 rubies for every 1 emerald and 5 sapphires for every 3 rubies.
| Quantity A | Quantity B |
| The minimum possible number of gemstones on the bracelet | 20 |