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## A scientist needs to make 2 liters of saline solution (salt water), in which the salt level must be at 15% concentration (meaning 15%

Question

A scientist needs to make 2 liters of saline solution (salt water), in which the salt

level must be at 15% concentration (meaning 15% of the water is salt).

Unfortunately, the scientist only has two types of saline solution in his

possession. He has saline solution with a 10% concentration level and saline

solution with a 35% concentration level.

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How much of each type of saline solution should the scientist mix together to

achieve 2 liters of saline solution at a concentration level of 15%?

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Let I represent the amount 10% saline solution and let y represent the amount

of 35% saline solution.

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Mathematics
3 years
2021-08-19T08:13:58+00:00
2021-08-19T08:13:58+00:00 1 Answers
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## Answers ( )

Answer:1.60 L of 10% solution

0.40 L of 35% solution

Step-by-step explanation:If x = amount of 10% saline solution, and y = amount of 35% saline solution, then:

x + y = 2

0.10x + 0.35y = 0.15(2)

Solve with substitution:

0.10x + 0.35(2 − x) = 0.15(2)

0.10x + 0.70 − 0.35x = 0.30

0.40 = 0.25x

x = 1.60

y = 0.40