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Home > College Board Tests > The Official SAT Question of the Day

Today's Answer

Saturday, February 21

Correct!

  • Here's Why:

    Suppose that x quarts of the final mixture of dye will be made. Since it is to be made from equal amounts of orange and green dye, it will consist of 1 over 2x quarts of orange dye and 1 over 2x quarts of green dye. Since the orange dye has 2 parts yellow dye for each 5 parts total dye, 2 over 5 of it is yellow dye. Similarly, 1 over 3 of the green dye is yellow dye. The amount of yellow in the final mixture is given by

    (2 over 5)(1 over 2)x + (1 over 3)(1 over 2)x = 1 over 5x + 1 over 6x

    = 11 over 30x quarts

    So 11 over 30 of the final mixture is yellow dye.

    Note: Although “quarts” were used to express the amount of the final mixture, it could have been pints or any other unit of liquid measure.

  • Difficulty: Hard
  • Question Type: Standard Multiple Choice
    (Mathematics)

Today's Responses

  • Section:
    Mathematics
  • Responses:
    (Total So Far)
    237,823
Today's Responses - Pie Chart
  • Correct: 29%
  • Incorrect: 71%

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