The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion?
The total ratio representing the 500 cards is 11+9 = 
<gadget id="calculator">11+9</gadget>
<output>20</output>
20.
The fraction of the total ratio that represents the number of cards that Ellis got is 11/20, and since there were 500 cards, Ellis got 11/20*500 = 
<gadget id="calculator">11/20*500</gadget>
<output>275</output>
275.
If there were 500 cards, and Ellis received 275 cards, Orion received 500-275 = 
<gadget id="calculator">500-275</gadget>
<output>225</output>
225 cards.
The number of cards that Ellis received more than Orion is 275-225 = 
<gadget id="calculator">275-225</gadget>
<output>50</output>
50 cards.

<result>50</result>