Question

16. How many liters of a 60% alcohol solution must be added to 60 liters of a 30% alcohol

solution to produce a 40% alcohol solution?
Quantity
Product
Percent
or
rate
Item 1
Item2
Combine
d Item

Answer 1

30 Liters

Explanation:

A × 60% + 60 × 30% = (A + 60) × 40%

60%A + 18 = 40%A + 24

60%A - 40%A = 24 - 18

20%A = 6

A = 6 : 20%

A = 30

Answer 2

• 30 liters

Explanation:

When you make a such solution the alcohol content remains same. Let the added volume is x.

Then we have:

• x*60/100 + 60*30/100 = (x + 60)*40/100
• 0.6x + 18 = 0.4x + 24
• 0.6x - 0.4x = 24 - 18
• 0.2x = 6
• x = 6/0.2
• x = 30

The added volume is 30 liters