Proportion Problems Worksheet

    1. A runner ran 4.9 miles yesterday and 7.7 miles today. What is the ratio of the distance she ran yesterday to the distance she ran today?
    2. If a company has 10 management-level staff and 25 nonmanagement level staff, what is the ratio of managers to the entire staff of the company?
    3. A house has a 9:2 ratio of windows to doors. If it has four doors, how many windows does it have?
    4. A restaurant sells a 5 to 3 ratio of red wine to white wine. If it sells 14 more bottles of red wine than white wine in one night, how many bottles does it sell altogether?
    5. Charles recently tracked his monthly spending and found that he spends 20% of his income on rent and 15% on transportation. If $3,250 goes to neither rent nor transportation, what is his rent each month?
    6. A company has a 6 to 1 ratio of domestic to foreign sales revenue. It its total revenue last year was $350,000, how much of that was from foreign sales?
    7. Jason can swim 9 laps in the time it takes his cousin Anton to swim 5 laps. If the two boys swam a combined total of 140 laps in the same time span, how many of those laps did Jason swim?
    8. An organization has a 5:3:2 ratio of members from, respectively, Massachusetts, Vermont, and New Hampshire. If the organization has a total of 240 members, how many are from Vermont?
    9. An organization has a 5:3:2 ratio of members from, respectively, Massachusetts, Vermont, and New Hampshire. If 42 of its members are from Vermont, how many members are from either of the other two states?
    10. An organization has a 5:3:2 ratio of members from, respectively, Massachusetts, Vermont, and New Hampshire. If 60 members are from New Hampshire, how many are from Massachusetts?
    11. A bookmobile has a 15 to 4 ratio of nonfiction books to fiction books. If it has 900 nonfiction books, how many books does it have altogether?
    12. A diner has an 8:5 ratio of dinner customers to lunch customers. If it averages 40 lunch customers, what is its average number of customers for both lunch and dinner?

  1. A project manager estimates that her newest project will require a 2:9 ratio of team leaders to programmers. If she brings a total of 77 people into the project, how many of these will be team leaders?
  2. A diet requires a 6:4:1 ratio of protein to fat to carbohydrates. If it permits 660 calories of daily fat intake, how many calories does it permit altogether?
  3. Suppose that a store expects a 3 to 10 ratio of people who make a purchase to the number of people who enter the store. If 120 customers entered the store on a busy Saturday, how many made purchases?

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