Question

A shopkeeper has 50 cold drink bottles. Some of the bottles are 1-liter and some are 2- liter bottles. The average cold drink of the bottles is 1200 ml . Find the number of 2-liter bottles. (1 liter = 1000 ml)
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Answer 1

Answer is 2litre 4ml=2litres

Answer 2

The shopkeeper has 10 bottles of 2 liters.

Given:

• Total of 50 cold drink bottles.

• The Some of bottles are one-liter and some are two liter bottles.

• The average cold drink in the bottles is 1200 ml.

To Find:

• The total number of 2-liter bottles (whereas 1 liter = 1000 ml).

Solution:

• Here we have two groups,

• One of the one-liter bottles & the other one of Two-liter bottles.

• Let the number of Two-liter bottles is N1 & the number of Two-liter bottles is N2.

• We know N1 + N2 = 50 as given in the question.

• The average of the group 1 (W1) is 1000 ml as all the bottles are of equal quantity, ( i.e. 1000 ml.)
• And similarly, the average of group 2 (W2) is 2000 ml.
• With the weighted average formula, we can calculate N1 and N2.
• The weighted average here is 1200 ml. Now Let us put the values in the equation.

     1200 =  (N1 x 100 + N2 x 200) /  N1 + N2

Now,

N1 + N2 = 50,

By replacing and solving for N1 we get, N1 = 40 and N2 = 10.

Thus, the shopkeeper has 10 bottles of 2 liters.

Hence answer is 10 bottles.

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