A 6 litre bottle of lemonade contains 1.6 litres of lemon juice and the rest is water how much lemon juice does 1.5 litre bottle of lemonade contain?
If a 6 litre bottle of lemonade contains 1.6 litres of lemon juice, this means that the lemon juice makes up 1.6/6 = <<1.6/6=0.2667>>0.2667 (or 26.67%) of the total volume of the lemonade.
Therefore, a 1.5 litre bottle of lemonade would contain 0.2667 * 1.5 = <<0.2667*1.5=0.399>0.399 (or 39.9%) litres of lemon juice. Answer: \boxed{0.399}.
Is there any other way for solving this?
Yes, there is another way to solve this problem.
Since the ratio of lemon juice to water in the 6 litre bottle is 1.6 : (6 - 1.6) = 1.6:4.4 = 4:11, we can set up a proportion to find the amount of lemon juice in the 1.5 litre bottle.
Let x be the amount of lemon juice in the 1.5 litre bottle.
Therefore, the ratio of lemon juice to water in the 1.5 litre bottle is x : (1.5 - x) = x : 1.5.
Setting up the proportion, we have:
4/11 = x/1.5.
Cross multiplying, we get:
11x = 4 * 1.5
11x = 6
x = 6/11.
Therefore, the 1.5 litre bottle of lemonade contains 6/11 = <<6/11=0.5454>>0.5454 litres (or 54.54%) of lemon juice.
Is there any other way to solve this?
Yes, there is another approach to solving this problem.
Given that a 6 litre bottle of lemonade contains 1.6 litres of lemon juice and the rest is water, we can calculate the percentage of lemon juice in the 6 litre bottle as (1.6/6) * 100 = 26.67%.
Since the amount of lemon juice is directly proportional to the percentage, we can apply the same percentage to the 1.5 litre bottle to find the amount of lemon juice in it.
Therefore, the 1.5 litre bottle of lemonade will contain (26.67/100) * 1.5 = 0.4 litres (or 40%) of lemon juice.