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0.10x + 0.20y = 0.18(x + y) Clayton wi...

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?

A

5

B

25

C

50

D

100

Text Solution

Verified by Experts

The correct Answer is:
B
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 x 0.10 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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