### Instruction: A container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution?
Answer Choices: (A) 2:5 (B) 3:7 (C) 3: 5 (D) 5:12 (E) 7:3.### Response: Let's think about the multi-choice question.
Container 1 has 9 ounces in the ratio 1:2
or,
x+2x=9 gives x(alcohol)=3 and remaining water =6
container 2 has 8 ounces in the ratio 1:3
or,
x+3x=8 gives x(alcohol)=2 and remaining water =6
mixing both we have alcohol=3+2 and water =6+6
ratio thus alcohol/water =5/12
The answer is D