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By weight, liquid A makes up 8 percent of solution R and 18 percent of solution
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution
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2024-01-12
29
管理
问题
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
选项
A、10%
B、13%
C、15%
D、19%
E、26%
答案
C
解析
Liquid A makes up 8 percent of the weight of solution R and 18 percent of the weight of solution S. Therefore, 3 grams of solution R contain(0.08)(3), or 0.24 gram of liquid A, and 7 grams of solution S contain(0.18)(7), or 1.26 grams of liquid A. When the two solutions are mixed, the resulting solution weighs 3 + 7, or 10 grams and contains 0.24 + 1.26, or 1.5 grams of liquid A. This means that liquid A makes up1.5/10, or15/100, or 15 percent of the weight of the resulting solution. The correct answer is Choice C.
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