VTMO 2015 — Grade 7 — semifinal Question 10

Question 10

A box has $400$ green, white, red, yellow, orange balls. Green: white: red $= 1 : 2 : 4$ and white: yellow: orange $= 1 : 3 : 6$. What minimum blind draws guarantee $50$ of one color?

$50$
$115$
$148$
$196$
$246$