Three good friends, A, B, and C, go to the supermarket and buy 100 yuan worth of goods. If A pays, then the remaining money of A will be the remaining money of B and C (2/13); if B pays, then the remaining money of B will be the remaining money of A and C (9/16 ); if C pays, C can enjoy a 10% discount with his membership card, and only needs to pay 90 yuan, then the remaining money of C will be 1/3 of the remaining money of A and B. Question: A How much money did , B, and C bring in total at the beginning?
甲、乙、丙三个好朋友去超市买了100元的商品．如果甲付钱，那么甲剩下的钱将是乙、丙剩下钱的(2/13)；如果乙付钱，那么乙剩下的钱将是甲、丙剩下钱的(9/16)；如果丙付钱，丙用他的会员卡就可以享受9折优惠，只需付90元，那么丙剩下的钱将是甲、乙剩下钱的(1/3)，问：甲、乙、丙开始时一共带了多少钱？
<gadget id="calculator">100 + 90</gadget>
<output>190</output>

<gadget id="calculator">190 * 4</gadget>
<output>760</output>

<gadget id="calculator">100 - 90</gadget>
<output>10</output>

<gadget id="calculator">760 + 10</gadget>
<output>770</output>

<gadget id="calculator">13 + 2</gadget>
<output>15</output>

<gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>

<gadget id="calculator">16 + 9</gadget>
<output>25</output>

<gadget id="calculator">9 / 25</gadget>
<output>9/25 = around 0.36</output>

<gadget id="calculator">1 - (2/15) - (9/25)</gadget>
<output>38/75 = around 0.506667</output>

<gadget id="calculator">(38/75) * 4</gadget>
<output>152/75 = around 2.026667</output>

<gadget id="calculator">(152/75) - 1</gadget>
<output>77/75 = around 1.026667</output>

<gadget id="calculator">770 / (77/75)</gadget>
<output>750</output>

<gadget id="calculator">750 * (2/15)</gadget>
<output>100</output>

<gadget id="calculator">750 * (9/25)</gadget>
<output>270</output>

<gadget id="calculator">750 * (38/75)</gadget>
<output>380</output>

<gadget id="calculator">380 - 100</gadget>
<output>280</output>

<gadget id="calculator">100 + 100 + 270 + 100 + 280</gadget>
<output>850</output>

<result>850</result>