A lemonade stand sold only small and large cups of lemonade on Tuesday. 1/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?  Choices:  A) 7/16  B) 7/15  C) 10/21  D) 14/17  E) 1/2
Let the total # of cups be 10.   # of small cups sold 1/5*10= 
<gadget id="calculator">1/5*10</gadget>
<output>2</output>
2;   # of large cups sold  10-2= 
<gadget id="calculator"> 10-2</gadget>
<output>8</output>
8;   Let the price of small cup be $6, then the price of larges cup would be 7/6*6= 
<gadget id="calculator">7/6*6</gadget>
<output>7</output>
$7;   Revenue from small cups: 2*$6=$12;   Revenue from large cups cups: 8*$7  2* 6= 
<gadget id="calculator">  2* 6</gadget>
<output>12</output>
$12;   Revenue from large cups cups: 8*$7=$56;   Fraction of total revenue from large cups: 56/(56+12) 8* 7= 
<gadget id="calculator"> 8* 7</gadget>
<output>56</output>
$56;   Fraction of total revenue from large cups: 56/(56+12)=14/17.   Answer: 14/17.
<result>D</result>
A lemonade stand sold only small and large cups of lemonade on Tuesday. 1/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?