If (x – 2y + 8z) : (y – 3z + 4w) : (4x + 5z – 7w) = 3 : 4 : 7, then \(\frac{6x + 2y - 17w}{w}\) = ?
Answer & explanation
Correct answer: option 2
(x- 2y + 8z) : (y - 3z + 4w) : (4x + 5z - 7w) = 3 : 4 : 7
⇓ ⇓ ⇓ (sum 3+4 = 7)
(x - 2y + 8z + y - 3z + 4w ) = 4x + 5z - 7w
3x + y = 11 w
6x + 2y = 22w (multiply by 2)
6x + 2y = 17 w + 5w ⇒ \(\frac{6x + 2y - 17w}{w}\) = 5