Bag A has 10 white towels and 35 blue towels. Bag B has 28 white towels and 40 blue towels. How many white towels and blue towels must be moves from Bag B to Bag A so that 4/5 of the towels in Bag A are blue and 3/4 of the towels in Bag B are white?
+313 white : x
blue : y
\( {24 - x \over 28 - x + 40 - y}{}{} = \)\({3\over 4}\) \( {28 - x \over 68-x-y}\)\( = {3 \over 4}\)
{ {
{ \( {35 + y \over 10 + x 35 + y} = \) \( {4 \over 5}\) { \({35 + y\over 45 + x + y}\)\( = {4 \over 5}\)
{ 3 * 18 - 3x - 3y = 4 * 28 - 4x
{ 4 * 45 + 4x + 4y = 34 * 5 + 5y
{ x = 7
{ y = 33
So white : 7 blue : 33
