Question

in a mixture the ratio of water to acid is 4:5. if 20% of the mixture is replaced with water. find the new ratio of water and acid​

Answer 1

Given data:

• In a mixture, the ratio of water to acid is 4 : 5
• 20% of the mixture is replaced with water

To find:

• The new ratio of water and acid

Step-by-step explanation:

• Given, water : acid = 4 : 5

• If 1 be the amount of the total mixture, then there is 4/9 fraction of water and 5/9 fraction of acid.

• 20% of the mixture means 20/100 = 1/5 fraction mixture
• In 1/5 fraction mixture, water = 4/9 * 1/5 = 4/45 fraction and acid = 5/9 * 1/5 = 5/45 fraction.

• Here 1/5 fraction mixture is taken out, then remaining water
• = 4/9 - 4/45 = (20 - 4)/45 = 16/45 fraction
• and remaining acid
• = 5/9 - 5/45 = (25 - 5)/45 = 20/45 fraction

• Again the same amount of water, i.e., 1/5 fraction water id added.
• Then water
• = 16/45 + 1/5 = (16 + 9)/45 = 25/45

• Therefore the new ratio of water and acid is
• = 25/45 : 20/45
• = 25 : 20
• = 5 : 4

Answer:

The new ratio of water and acid is 5 : 4.