Lilit and sergio sold candles for a class trip on the first day Lilit sold eight candles and sergio sold 10 candles for the next 3 days both sold another three candles each day drag numbers to complete the table to show the numbers of each person sold after each day each number may be used once more than once or not at all day 1 2 and 3 Lilit 8 A 18 B 15 C 11 D 16 E 12 14 and A 18 B 15 C 11 D 16 E 12 F 17 Sergio 10 13 A 18 B 15 C 11 D 16 E 12 F 17 and 19Select all the ordered pairs that represent the amount of candles lilit and Sergio sold over the next 2 days if they continue to sell three candles each day A (20, 22) B (21, 23) C (22, 24) D (23, 25) E (24, 26)

1 answer

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.