Aunt Li kept the chickens she raised in the east and west courtyards respectively. It is known that there are 80 chickens in the east courtyard; now sell (1/4) of the total number of chickens in the west courtyard to the store, (1/3) to the processing factory, and then add the remaining chickens to all the chickens in the east courtyard, The sum is exactly equal to 65% of the total number of chickens raised in the East and West courtyards. How many chickens were raised in total in the East and West courtyards?
李大娘把养的鸡分别关在东、西两个院内．已知东院养鸡80只；现在把西院养鸡总数的(1/4)卖给商店，(1/3)卖给加工厂，再把剩下的鸡与东院全部的鸡相加，其和恰好等于原来东、西两院养鸡总数的65%．原来东、西两院一共养鸡多少只？
<gadget id="calculator">65 / 100</gadget>
<output>13/20 = around 0.65</output>

<gadget id="calculator">1 - (13/20)</gadget>
<output>7/20 = around 0.35</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/4) + (1/3)</gadget>
<output>7/12 = around 0.583333</output>

<gadget id="calculator">(7/20) / (7/12)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">80 / (2/5)</gadget>
<output>200</output>

<result>200</result>