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Solving Quantitative Problems - Example 6
Instructions
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
A bottle X is filled entirely with orange juice. It contains 1 l of orange juice.
Maria pours orange juice from this bottle X into two empty bottles Y and Z.
Bottle Y is half as big as bottle X (in terms of volume). After the filling operation,
bottle X still contains 0.6 l of orange juice; bottle Y is 1/5 full of orange juice;
and bottle Z is half-full of orange juice.
Maria fills bottle Z with water until the bottle is full. How much liquid does bottle Z contain?
Degree of difficulty: high
Solution
Step 1: How much orange juice does Maria pour into bottles Y and Z altogether?
In bottle X there are still 0.6 l,
so Maria pours a total of 1 l - 0.6 l = 0.4 l into bottles Y and Z.
Step 2: How much orange juice is in bottle Y? Bottle Y is half as big as bottle X, so its volume is 0.5 l.
It is filled 1/5 with orange juice, so it contains 0.5 l / 5 = 0.1 l of orange juice.
Step 3: How much orange juice is in bottle Z? 0.4 l - 0.1 l in bottle Y = 0.3 l.
Step 4: What is the volume of bottle Z? It is half full of orange juice, i.e. 0.3 l.
So its volume is 0.3 l x 2 = 0.6 l.
Bottle Z is full, so it contains 0.6 l of liquid.
(D) is therefore the correct solution.
Instructions
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6