Question

The ratio of alcohol and water in vessels A & B are 3:7 and 4:11 respectively. Five liter and 7 1/2 liter solution from the vessel A & B respectively are mixed in the vessel C. What is the ratio of water and alcohol in the solution in C​

Answer 1

CONSIDER SOLUTION A ,

• ratio of water to alcohol = 3 : 7

• quantity of litres present = 5 L

• 3x + 7x = 5

• 10x = 5

• x= 1/2

quantity of alcohol in A = 3 × 1/2 = 1.5 L

quantity of water in A = 7 × 1/2 = 3.5 L

$\rule{10cm}{0.05cm}$

CONSIDER VESSEL B

• Ratio of Alcohol to water = 4 : 11

• quantity of solution present = 7.5 L

• 4x + 11x = 7.5

• 15x = 7.5

• x = 7.5 / 15

• x = 1/2

quantity of alcohol = 4 × 1/2 = 2L

quantity of water = 11 × 1/2 = 5.5 L

$\rule{10cm}{0.05cm}$

NOW CONSIDER VESSEL C

Quantity of alcohol = 1.5 + 2 = 3.5 L

Quantity of water = 3.5 + 5.5 = 9 L

Ratio = 3.5 : 9

= 7 : 18