a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight. a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment. when these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. if the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Options.
A) 1.5
B) 2.5
C) 3.5
D) 2.75
E) 4.5
<gadget id="calculator">100 * 2</gadget>
<output>200</output>

<gadget id="calculator">55 / 200</gadget>
<output>11/40 = around 0.275</output>

<gadget id="calculator">(11/40) * 10</gadget>
<output>11/4 = around 2.75</output>

<result>D</result>
a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight. a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment. when these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. if the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
multiply(divide(55, multiply(const_100, const_2)), 10)
10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 55 = 2.75 grams of red pigment