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Quantitative: Algebraic Word Problems Flashcards

7 cards from real GMAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative: Algebraic Word Problems flashcards as text

  1. A shopkeeper buys goods for $200 and wants a 25% profit. At what price should he sell?

    Answer: $250

    200 × 1.25 = 250.

  2. Two numbers are in the ratio 2:3 and their sum is 45. What is the smaller number?

    Answer: 18

    5 parts equal 45, so each part is 9 and the smaller is 2×9 = 18.

  3. A jogger runs at 8 mph and a cyclist at 12 mph start together; the cyclist stops after 1 hour. How long until the jogger catches up to the cyclist's position?

    Answer: 1.5 hours

    Cyclist covers 12 miles; jogger needs 12/8 = 1.5 hours total to reach it.

  4. If twice a number plus 3 equals three times the number minus 5, what is the number?

    Answer: 8

    2x + 3 = 3x − 5 gives x = 8.

  5. A tank holds 600 gallons and is 40% full. How many gallons are needed to fill it completely?

    Answer: 360

    It holds 240 gallons now, so 600 − 240 = 360 are needed.

  6. Three friends split a bill so that the second pays twice the first and the third pays $10 more than the first. If the total is $70, how much does the first pay?

    Answer: $15

    x + 2x + (x+10) = 70 gives 4x = 60, so x = 15.

  7. A solution of 10 liters is 40% salt. How much water must evaporate to make it 50% salt?

    Answer: 2 liters

    Salt is 4 liters; 4/(10−x) = 0.5 gives x = 2.