A scientist has two solutions which she has labeled solution A and solution B. Each contains salt. She knows that solution A is 55% salt and solution B is 85% salt. She wants to obtain 30 ounces of mixture that is 60% salt. How many ounces of each solution should she use?

Question

Mathematics

Rudy Nelson

1 November, 18:43

A scientist has two solutions which she has labeled solution A and solution B. Each contains salt. She knows that solution A is 55% salt and solution B is 85% salt. She wants to obtain 30 ounces of mixture that is 60% salt. How many ounces of each solution should she use?

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Answers (1)

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Skyler Andrade · Answer 1

Let x be the amount of oz in solution A, then solution of A =.55x

The amount of a is known (x), to find the amount of B, we have to take into consideration the last info: ... to obtain 30 oz of a 60& mixture.

So we know that A + B at the will generate a solution at 60%.

So if the amount of A = x then the amount of B = 30-x

0.55x + 0.85 (30-x) = (30) (0.6)

0.55x+25.5 - 0.85x = 18 = = = > - 0.30x = 18-25.5 = = > - 0.3x = - 7.5

0.30x = 7.5 = = > x = 25 oz

Then it will have 25 oz at 55% & 5oz at 85%