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Lesson 45: Ratio Problems Involving Totals — Practice Questions

  1. 1. The ratio of dogs to cats at a shelter is 3:7. If there are 21 cats, how many dogs are there? ___

  2. 2. In a fruit basket, the ratio of apples to oranges is 5:2. If there are 30 apples in the basket, what is the scale factor used to find the actual number of oranges?

    • A. 6
    • B. 15
    • C. 5
    • D. 150
  3. 3. A school club has a ratio of boys to girls of 5:6. If there are 77 members in total, how many girls are in the club? ___

  4. 4. A soccer team's win-to-loss ratio is 8:3. If the team had 24 wins, what was the total number of games played? ___

  5. 5. The ratio of flour to sugar in a recipe is 9:2. If there are 36 cups of flour used, how many cups of sugar are needed?

    • A. 4
    • B. 8
    • C. 18
    • D. 72
  6. 6. A recipe for a pastry mix requires a ratio of flour to sugar of 5:2. If a baker makes 35 cups of the mix in total, how many cups of flour are needed? ___

  7. 7. The ratio of chickens to pigs on a farm is 8:3. If there are 24 chickens, which proportion correctly finds the total number of animals ($t$)?

    • A. $\frac{8}{11} = \frac{24}{t}$
    • B. $\frac{3}{11} = \frac{24}{t}$
    • C. $\frac{8}{3} = \frac{24}{t}$
    • D. $\frac{11}{8} = \frac{24}{t}$
  8. 8. In a bag of marbles, the ratio of red marbles to blue marbles is 4:7. If there are 28 blue marbles in the bag, how many red marbles are there? ___

  9. 9. A playlist has a ratio of rock songs to pop songs of 3:8. If there are 40 pop songs, which equation correctly sets up the problem to find the total number of songs ($t$)?

    • A. $\frac{3}{11} = \frac{40}{t}$
    • B. $\frac{8}{11} = \frac{40}{t}$
    • C. $\frac{3}{8} = \frac{40}{t}$
    • D. $\frac{8}{11} = \frac{t}{40}$
  10. 10. In a survey, the ratio of students who prefer soccer to band is 7:4. If 55 students were surveyed in total, how many students preferred soccer? ___