Arnold wanted to create a perfect shade of pink for his new canvas painting. He started out replacing 25% of a 100% red colored paint with white. He then further replaced 15% of this shade with white. Finally, he repeated the process by replacing 10% of the shade with white. What was the final percentage of red in Arnold's pink paint?
Choose the correct choice from the following.
A) 62.40%
B) 51%
C) 68.21%
D) 57.37%
E) 70%
Quick answer: 100x0.75x0.85x0.9   We begin with 100% red paint. 25% of this is replaced with white paint which leaves us with a mixture of 75% red paint (as 25% is white)   Next, 15% of this mixture is further mixed with white paint. That implies that 85% of the previous red paint remains. Hence, the new percentage is 75x0.85% = 63.75%   Finally, 10% of the new paint mixture is again mixed with white. This leaves us with 90% of the previous red quantity. So the final percentage of red is 63.75x0.9% = 57.37%   Answer: 57.37%
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Arnold wanted to create a perfect shade of pink for his new canvas painting. He started out replacing 25% of a 100% red colored paint with white. He then further replaced 15% of this shade with white. Finally, he repeated the process by replacing 10% of the shade with white. What was the final percentage of red in Arnold's pink paint?