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

ANSWER = 7 : 18

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

Answer 2

Answer:

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Step-by-step explanation:

ANSWER = 7 : 18

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