A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups? Pick one.
A) (a) 7/16 B) (b) 7/15 C) (c) 14/17 D) (d) 17/35 E) (e) 1/2
This problem is very good example how easy and quick plug-in method might be.   Let the total # of cups be 10.   # of small cups sold 3/5*10= 
<gadget id="calculator">3/5*10</gadget>
<output>6</output>
6;   # of large cups sold  10-6= 
<gadget id="calculator"> 10-6</gadget>
<output>4</output>
4;   Let the price of small cup be $6, then the price of larges cup would be 7*6= 
<gadget id="calculator">7*6</gadget>
<output>42</output>
$42;   Revenue from small cups: 6*$6=$36;   Revenue from large cups cups: 4*$42  6* 6= 
<gadget id="calculator">  6* 6</gadget>
<output>36</output>
$36;   Revenue from large cups cups: 4*$42=$168;   Fraction of total revenue from large cups: 168/(36+168) 4* 42= 
<gadget id="calculator"> 4* 42</gadget>
<output>168</output>
$168;   Fraction of total revenue from large cups: 168/(36+168)=14/17.   Answer: (c) 14/17.
<result>C</result>
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?