Question
Wren and Jenni are reading the same book. Wren is on page 14 and reads 2 pages every night.
Jenni is on page 6 and reads 3 pages every night.
After how many nights will they have read the same number of pages?
How many pages will that be?
Jenni is on page 6 and reads 3 pages every night.
After how many nights will they have read the same number of pages?
How many pages will that be?
Answers
GPT 3.5
To find out after how many nights they will have read the same number of pages, we need to find the least common multiple (LCM) of 2 and 3.
The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ...
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
As we can see, the first number they both have in common is 6, so after 6 nights they will have read the same number of pages.
To find out how many pages they will have both read, we can calculate: 6 pages + 2 pages/night * 6 nights = 6 + 12 = <<6+12=18>>18 pages.
Therefore, after 6 nights, Wren and Jenni will both have read 18 pages.
The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ...
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
As we can see, the first number they both have in common is 6, so after 6 nights they will have read the same number of pages.
To find out how many pages they will have both read, we can calculate: 6 pages + 2 pages/night * 6 nights = 6 + 12 = <<6+12=18>>18 pages.
Therefore, after 6 nights, Wren and Jenni will both have read 18 pages.