The school holds a party on New Year's Day and needs to buy colorful balloons to decorate the classroom. Arrange them according to 5 yellow balloons, 3 red balloons, 8 blue balloons, and 2 purple balloons. Now I have bought 75 red balloons. How many purple balloons do I need to buy? ?
学校元旦开联欢会，要买彩色气球布置教室，按5个黄气球、3个红气球、8个蓝气球、2个紫气球摆放，现在已经买了75个红气球，需要买多少个紫气球？
<gadget id="calculator">5 + 3 + 8 + 2</gadget>
<output>18</output>

<gadget id="calculator">3 / 18</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">75 / (1/6)</gadget>
<output>450</output>

<gadget id="calculator">2 / 18</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">450 * (1/9)</gadget>
<output>50</output>

<result>50</result>