.solve for 13points
Answers
Hey there!
Ratio of milk and water in first vessel = 3 : 5
Ratio of milk and water in second vessel = 6 : 1
Ratio of Resultant mixture = 7 : 3
Let we mix 'x' from first vessel and 'y' from second vessel.
then, Milk from first vessel = 3/(3+5) * x = 3x / 8
Water from first vessel = 5/(3+5)*x =5x/8
Milk from second vessel = 6/(6+1)*y = 6y/7
Water from second vessel = 1/(6+1)*y = y/ 7
According to Question,
(3x/8 + 6y/7) / ( 5x/8 + y/7 ) = 7 / 3
⇒ 3 * ( 3x/8 + 6y/7) = 7 * ( 5x/8 + y/7 )
⇒ 18y/7 - y = 35x/8 - 9x/8
⇒ 11y/7 = 26x/8
⇒ x / y = ( 11/7 ) * ( 8 / 26 )
⇒ x / y = 44 / 91
⇒ x : y = 44 : 91
Hence Ratio = 44 : 91
Answer:
Hey there!
Ratio of milk and water in first vessel = 3 : 5
Ratio of milk and water in second vessel = 6 : 1
Ratio of Resultant mixture = 7 : 3
Let we mix 'x' from first vessel and 'y' from second vessel.
then, Milk from first vessel = 3/(3+5) * x = 3x / 8
Water from first vessel = 5/(3+5)*x =5x/8
Milk from second vessel = 6/(6+1)*y = 6y/7
Water from second vessel = 1/(6+1)*y = y/ 7
According to Question,
(3x/8 + 6y/7) / ( 5x/8 + y/7 ) = 7 / 3
⇒ 3 * ( 3x/8 + 6y/7) = 7 * ( 5x/8 + y/7 )
⇒ 18y/7 - y = 35x/8 - 9x/8
⇒ 11y/7 = 26x/8
⇒ x / y = ( 11/7 ) * ( 8 / 26 )
⇒ x / y = 44 / 91
⇒ x : y = 44 : 91
Hence Ratio = 44 : 91