In a scenario where Jordan combines 20 liters of saline solution B with 10 liters of a 30% saline solution to create a 20% saline solution, what is the percentage of saline in solution B?

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Explanation

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Official Explanation

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We can set up the equation as follows:

\frac{x}{100}

* 20 +

\frac{30}{100}

* 10 =

\frac{20}{100}

* 30. This simplifies to

\frac{x}{100}

* 20 + 3 = 6.…

Comments

ShivangiMar 16, 2024

Good question

AsmitaAug 10

wait why do we use 20 and 10 as the weights? is it because those are the volumes?

FabianAug 17

yeah exactly, the liters are the weights since it's a weighted average of the two concentrations

TanApr 14

solid 505-555 level, good warmup. the 20L vs 10L ratio is the key twist here

What this question tests

Your ability to reason about weighted averages and the composition of mixtures.

Averaging the percentages of two solutions without weighting by their volumes.