Let's first calculate the number of candles Lilit and Sergio sold over the first three days.
Day 1:
- Lilit sold: 8 candles
- Sergio sold: 10 candles
Day 2:
- Lilit sold: 3 candles → Total = 8 + 3 = 11 candles
- Sergio sold: 3 candles → Total = 10 + 3 = 13 candles
Day 3:
- Lilit sold: 3 candles → Total = 11 + 3 = 14 candles
- Sergio sold: 3 candles → Total = 13 + 3 = 16 candles
So after three days, Lilit has sold 14 candles and Sergio has sold 16 candles.
The amounts they sold:
- After Day 1:
- Lilit: 8
- Sergio: 10
- After Day 2:
- Lilit: 11
- Sergio: 13
- After Day 3:
- Lilit: 14
- Sergio: 16
Continuing for Days 4 and 5:
- On Day 4:
- Lilit: 14 + 3 = 17
- Sergio: 16 + 3 = 19
- On Day 5:
- Lilit: 17 + 3 = 20
- Sergio: 19 + 3 = 22
After 5 days:
- Lilit has sold a total of 20 candles.
- Sergio has sold a total of 22 candles.
Ordered Pairs for Total After 5 Days:
- (20, 22)
Thus, the only ordered pair that represents the amounts of candles Lilit and Sergio have sold over the next two days (continuing to sell three candles each day) is:
- A (20, 22)
Now, since we want to check for any other potential days, let's ensure to analyze the regular increments:
- After 4 days: (17, 19)
- After 5 days: (20, 22)
- After 6 days: (23, 25)
- After 7 days: (26, 28)
Here are the ordered pairs that are correct:
- A (20, 22)
- D (23, 25)
- E (24, 26)
Final Answer of Ordered Pairs:
The correct ordered pairs are:
- A (20, 22)
- D (23, 25)
- E (24, 26)
The other pairs do not match the continued increment of three candles for each seller.