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The table shows the number of blue marbles and red marbles that four friends have collected.

Blue and Red Marbles

Blue
Red
Jasmine
12
10
Aaron
3
2
Lucian
10
10
Gretchen
14
2

Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen

1 answer

To find the lowest ratio of blue to red marbles for each person, we can calculate the ratio of blue marbles to red marbles by dividing the number of blue marbles by the number of red marbles for each person.

  1. Jasmine:

    • Blue: 12
    • Red: 10
    • Ratio: \( \frac{12}{10} = 1.2 \)

  2. Aaron:

    • Blue: 3
    • Red: 2
    • Ratio: \( \frac{3}{2} = 1.5 \)

  3. Lucian:

    • Blue: 10
    • Red: 10
    • Ratio: \( \frac{10}{10} = 1.0 \)

  4. Gretchen:

    • Blue: 14
    • Red: 2
    • Ratio: \( \frac{14}{2} = 7.0 \)

Now comparing the ratios:

  • Jasmine: 1.2
  • Aaron: 1.5
  • Lucian: 1.0
  • Gretchen: 7.0

The lowest ratio of blue to red marbles is Lucian, with a ratio of 1.0.