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A chemist has three different acid solutions. The first acid solution contains `15%` acid, the second...

A chemist has three different acid solutions. The first acid solution contains `15%` acid, the second contains `30%` and the third contains `50%`. He wants to use all three solutions to obtain a mixture of `78` liters containing `35%` acid, using 3 times as much of the `50%` solution as the `30%` solution. How many liters of each solution should be used?

The chemist should use __________________ liters of `15%` solution, __________________ liters of `30%` solution, and __________________ liters of `50%` solution.

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