in a certain state, the ratio of registered republicans to registered democrats is 3 to 2, and every registered voter is either a republican or a democrat. if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x, and everyone else is expected to vote for candidate y, by what percent is candidate x expected to win the election? Choose the correct choice from the following.
A) 2 % B) 5 % C) 8 % D) 10 % E) 12 %
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/5) * 2</gadget>
<output>2/5 = around 0.4</output>

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

<gadget id="calculator">(4/5) * 3</gadget>
<output>12/5 = around 2.4</output>

<gadget id="calculator">(2/5) + (12/5)</gadget>
<output>14/5 = around 2.8</output>

<gadget id="calculator">3 - (12/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">2 - (2/5)</gadget>
<output>8/5 = around 1.6</output>

<gadget id="calculator">(3/5) + (8/5)</gadget>
<output>11/5 = around 2.2</output>

<gadget id="calculator">(14/5) - (11/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">(3/5) / 5</gadget>
<output>3/25 = around 0.12</output>

<gadget id="calculator">(3/25) * 100</gadget>
<output>12</output>

<result>E</result>
in a certain state, the ratio of registered republicans to registered democrats is 3 to 2, and every registered voter is either a republican or a democrat. if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x, and everyone else is expected to vote for candidate y, by what percent is candidate x expected to win the election?
multiply(divide(subtract(add(multiply(divide(20, const_100), 2), multiply(divide(80, const_100), 3)), add(subtract(3, multiply(divide(80, const_100), 3)), subtract(2, multiply(divide(20, const_100), 2)))), add(3, 2)), const_100)
"since we were expected to find a percentage figure - it thought that it might be easier to pick a ' smart number ' to represent the total number of voters ( republicans and democrats ) . therefore , i picked 100 ( as the total number of voters ) and thus 30 : 20 represents the number ratio of republicans : democrats . if 80 % of republicans ( which is ( 60 * 0.8 ) = 48 ) and 20 % of democrats ( 40 * 0.2 = 8 ) voted for candidate x , means that out of total of 100 voters ; 56 ( 48 + 8 ) voters voted for candidate x and 44 voted for candidate y . thus we can infer that candidate x is expected to win the election by 12 ( 56 - 44 ) votes . therefore candidate x is expected to win the election by ( 12 / 100 ) votes which is equivalent to 12 % . i think the answer is e ."