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?
Correct answer: C. 15%
- A. 10%
- B. 13%
- C. 15%
- D. 19%
Explanation
To solve this problem, we need to determine the amount of liquid A in each solution and then calculate its percentage in the mixed solution. Liquid A makes up 8% of solution R and 18% of solution S. Therefore, in 3 grams of solution R, the amount of liquid A is 3g × 0.08 = 0.24g. Similarly, in 7 grams of solution S, the amount of liquid A is 7g × 0.18 = 1.26g. Adding these amounts gives us a total of 1.5g of liquid A in the mixture. The total weight of the resulting solution is 3g + 7g = 10g. Thus, the percentage of liquid A in the resulting solution is (1.5g / 10g) × 100% = 15%.Options A, B, and D are incorrect because they do not align with this calculated percentage. Option C is correct because it accurately reflects the calculated percentage of liquid A in the mixture.
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