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 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?

Question: 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 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?Solution: Let, the total cups sold 15 small cups = (3/5) × 15 = 9 large cups = 15 - 9 = 6 let, small cups were sold 6 taka each, then large cups were sold 7 taka each.large cup's revenue = 7 × 6 = 42 taka small cup's revenue = 6 × 9 = 54 taka fraction of Tuesday's total revenue was from the sale of large cups = 42/(42 + 54)= 42/96 = 7/16