solution p is 20 percent lemonade and 80 percent carbonated water by volume; solution q is 45 percent lemonade and 55 percent carbonated water by volume. if a mixture of pq contains 75 percent carbonated water, what percent of the volume of the mixture is p?
Choose the most appropriate option
A) 40 % B) 50 % C) 60 % D) 80 % E) 90 %
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">55 / 100</gadget>
<output>11/20 = around 0.55</output>

<gadget id="calculator">(3/4) - (11/20)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(4/5) - (3/4)</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/5) + (1/20)</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(1/5) / (1/4)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(4/5) * 100</gadget>
<output>80</output>

<result>D</result>
solution p is 20 percent lemonade and 80 percent carbonated water by volume; solution q is 45 percent lemonade and 55 percent carbonated water by volume. if a mixture of pq contains 75 percent carbonated water, what percent of the volume of the mixture is p?
multiply(divide(subtract(divide(75, const_100), divide(55, const_100)), add(subtract(divide(75, const_100), divide(55, const_100)), subtract(divide(80, const_100), divide(75, const_100)))), const_100)
"75 % is 5 % - points below 80 % and 20 % - points above 55 % . so the ratio of solution p to solution q is 4 : 1 . mixture p is 4 / 5 = 80 % of the volume of mixture pq . the answer is d ."