There are two cups A and B, cup A contains 100 grams of 46% salt water, and cup B contains 200 grams of 23.5% salt water. If pour (1/2) of the salt water in cup A into cup B; after mixing, pour (1/5) of cup B into cup A; after mixing again, pour (1/4) of cup A into cup B ; After mixing again, pour (1/9) of the B cup back into the A cup. What is the concentration of the solution in cup A at this time?
有甲、乙两个杯子，甲杯装有浓度为46%的盐水100克，乙杯装有浓度为23.5%的盐水200克．若将甲杯盐水的(1/2)倒入乙杯；混合后，将乙杯的(1/5)倒入甲杯；再混合后，将甲杯的(1/4)倒给乙杯；再混合后，将乙杯的(1/9)倒回甲杯．此时甲杯中溶液浓度为多少．
<gadget id="calculator">46 / 100</gadget>
<output>23/50 = around 0.46</output>

<gadget id="calculator">100 * (23/50)</gadget>
<output>46</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">46 * (1/2)</gadget>
<output>23</output>

<gadget id="calculator">23.5 / 100</gadget>
<output>0.235</output>

<gadget id="calculator">200 * 0.235</gadget>
<output>47</output>

<gadget id="calculator">47 + 23</gadget>
<output>70</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">70 * (1/5)</gadget>
<output>14</output>

<gadget id="calculator">23 + 14</gadget>
<output>37</output>

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

<gadget id="calculator">37 * (1/4)</gadget>
<output>37/4 = around 9.25</output>

<gadget id="calculator">37 - (37/4)</gadget>
<output>111/4 = around 27.75</output>

<gadget id="calculator">70 - 14</gadget>
<output>56</output>

<gadget id="calculator">56 + (37/4)</gadget>
<output>261/4 = around 65.25</output>

<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">(261/4) * (1/9)</gadget>
<output>29/4 = around 7.25</output>

<gadget id="calculator">(111/4) + (29/4)</gadget>
<output>35</output>

<gadget id="calculator">100 - 46</gadget>
<output>54</output>

<gadget id="calculator">54 * (1/2)</gadget>
<output>27</output>

<gadget id="calculator">200 - 47</gadget>
<output>153</output>

<gadget id="calculator">153 + 27</gadget>
<output>180</output>

<gadget id="calculator">180 * (1/5)</gadget>
<output>36</output>

<gadget id="calculator">27 + 36</gadget>
<output>63</output>

<gadget id="calculator">63 * (1/4)</gadget>
<output>63/4 = around 15.75</output>

<gadget id="calculator">63 - (63/4)</gadget>
<output>189/4 = around 47.25</output>

<gadget id="calculator">180 - 36</gadget>
<output>144</output>

<gadget id="calculator">144 + (63/4)</gadget>
<output>639/4 = around 159.75</output>

<gadget id="calculator">(639/4) * (1/9)</gadget>
<output>71/4 = around 17.75</output>

<gadget id="calculator">(189/4) + (71/4)</gadget>
<output>65</output>

<gadget id="calculator">35 + 65</gadget>
<output>100</output>

<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>

<result>7/20 = around 0.35</result>