Master Wang bought a commercial house and borrowed 3,000 yuan from a colleague with an annual interest rate of 15%. Five months later, he borrowed another 6,000 yuan from a colleague with an annual interest rate of 10%. How many months later will the interest on the two loans happen to be equal?
王师傅购买商品房，向同事借了3000元，年利率为15%，五个月后，又向同事借6000元，年利率10%，求再过几个月，两项款的利息恰巧相等？
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">(3/20) / 12</gadget>
<output>1/80 = around 0.0125</output>

<gadget id="calculator">3_000 * (1/80) * 5</gadget>
<output>375/2 = around 187.5</output>

<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">6_000 * (1/10) * (1/12)</gadget>
<output>50</output>

<gadget id="calculator">3_000 * (1/80)</gadget>
<output>75/2 = around 37.5</output>

<gadget id="calculator">50 - (75/2)</gadget>
<output>25/2 = around 12.5</output>

<gadget id="calculator">(375/2) / (25/2)</gadget>
<output>15</output>

<result>15</result>