Piya and Siya sell cakes over three days: Saturday, Sunday, and Monday. The ratio of cakes sold by Piya on Monday to Sunday is 1:2. Siya sells 20 cake...
Question
Piya and Siya sell cakes over three days: Saturday, Sunday, and Monday. The ratio of cakes sold by Piya on Monday to Sunday is 1:2. Siya sells 20 cakes on Monday. The number of cakes sold by Siya on Saturday equals the average number of cakes sold by Piya over all three days. The difference between cakes sold by Piya and Siya on Monday equals the difference between cakes sold by Piya and Siya on Saturday. Piya sells fewer cakes than Siya on each day.
Which of the following statements can be correct?
I. If Piya sold 18 cakes on Monday, then the total cakes sold by Siya over the three days is 81.
II. Piya sold 90 cakes on Saturday.
III. If Piya sold 21 cakes on Saturday, then the minimum possible cakes sold by Siya on Sunday is 35.