1.

0.10x + 0.20y = 0.18(x + y) Clayton will mix x milliliters of a 10% by mass saline solution with y milliliters of a 20% by mass saline solution in order to create an 18% by mass saline solution. The equation above represents this situation. If Clayton uses 100 milliliters of the 20% by mass saline solution, how many milliliters of the 10% by mass saline solution must he use?

Answer»

5
25
50
100

Solution :It’s given that CLAYTON uses 100 milliliters of the 20% by mass solution, so y = 100. Substituting 100 for y in the given EQUATION yields 0.10x + 0.20(100) = 0.18(x + 100), which can be rewritten as 0.10x + 20 = 0.18x + 18. Subtracting x0.10 and 18 from both sides of the equation gives 2 = 0.08x. Dividing both sides of this equation by 0.08 gives x = 25. Thus, Clayton uses 25 milliliters of the 10% by mass saline solution.
Choices A, C, and D are incorrect and may result from CALCULATION errors.


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