SAT Math Question of the Day

Math Category: Fractions Level 2:

Q: If 8/9 = 4x/27, then what is x?

  1. 2/3
  2. 2
  3. 4
  4. 6
  5. 8

UNANSWERED.

The correct answer is D.

A: The answer is 6.

Cross-multiply to solve for x.
8/9 = 4x/27
8 × 27 = 9 × 4x
216 = 36x
6 = x

A possible shortcut is to simplify the original equation before cross-multiplying:
8/9 = 4x/27
Divide by 4 on both sides
2/9 = x/27
Times by 9 on both sides
2 = x/3
Cross-multiply
6 = x