phoenix9801 wrote:
The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks.
The ratio, by volume, of baking soda to peroxide to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of baking soda to water is halved while the ratio of baking soda to peroxide is doubled. How many cubic centimeters of water will this solution contain if the altered solution will contain 100 cubic centimeters of peroxide?
A. 50
B. 200
C. 400
D. 625
E. 800
Given: \(\frac{B}{{\frac{P}{W}}}=\frac{2}{{\frac{50}{100}}}\);
The ratio of baking soda to water is halved --> \(\frac{B}{W}=\frac{1}{2}*\frac{2}{100}=\frac{1}{100}=\frac{4}{400}\);
The ratio of baking soda to peroxide is doubled --> \(\frac{B}{P}=2*\frac{2}{50}=\frac{4}{50}\);
New ratio: \(\frac{B}{{\frac{P}{W}}}=\frac{4}{{\frac{50}{400}}}\) --> \(\frac{P}{W}=\frac{50}{400}\) --> if \(P=2*50=100\) then \(W=2*400=800\).
Answer: E.
could u pls explain why this "2*50" to P and "2*400" is taken?