A lemonade stand sold only small and large cups of lemonade on Tuesday. 1/5 of the cups sold were ...
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?
Answer/Solution
14/17
Steps/Work
Let the total # of cups be 10.
# of small cups sold 1/5*10=2;
# of large cups sold 10-2=8;
Let the price of small cup be $6, then the price of larges cup would be 7/6*6=$7;
Revenue from small cups: 2*$6=$12;
Revenue from large cups cups: 8*$7=$56;
Fraction of total revenue from large cups: 56/(56+12)=14/17.
Answer: D.
# of small cups sold 1/5*10=2;
# of large cups sold 10-2=8;
Let the price of small cup be $6, then the price of larges cup would be 7/6*6=$7;
Revenue from small cups: 2*$6=$12;
Revenue from large cups cups: 8*$7=$56;
Fraction of total revenue from large cups: 56/(56+12)=14/17.
Answer: D.