One of our workers wanted to make two identical mixtures. Each contains:
230 kg of water.
370 kg of (water soluble) chemical solution.
During making the first mixture he made a mistake. He put:
230 kg water.
470 kg of chemical solution.
How can he correct this mistake without losing any material?
These mixtures are mixed in 750 Liter containers.
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Add 100 kg of chemical to the other solution.
Nope, keep trying.
Add 62.16kg of water.
Wait (just read this more closely), since we are limited to 750kg, and since we need two identical mixtures:
1. Pour half (350kg) of the incorrect mixture into a new empty container.
2. Add 115kg water to each
3. Add 135kg chemical to each
You nailed it, Big Daddy.
Divide the solution in half. Add 135kg of chem and 115kg of water to each container.
Original solution was 600kg of 61 2/3% chemical. Mistake was 700kg 67 1/7% chemical. When you divide it, you have 350kg of 67 1/7% chemical – or 235 kg of chemical and 115kg of water. Then just make up the difference to get you back to the required amount.
You are today’s winner.