Question
Hudson read 2 5 of a novel in the morning after reading 1 6 of the remainder in the afternoon he still had 170 more pages to read find the total number of pages in the novel.
Answers
GPT 3.5
Let's represent the total number of pages in the novel as x.
In the morning, Hudson read 2/5 of x, which is (2/5)*x.
The remainder of the novel is (1-2/5)*x = (3/5)*x.
In the afternoon, he read 1/6 of the remainder, which is (1/6)*(3/5)*x = (1/10)*x.
After reading in the afternoon, he still had 170 more pages to read, so:
(3/5)*x - (1/10)*x = 170
Multiplying through the equation by 10 to eliminate the fractions gives:
6x - x = 1700
Simplifying the equation gives:
5x = 1700
Dividing both sides of the equation by 5 gives:
x = 340
Therefore, the total number of pages in the novel is 340 pages.
In the morning, Hudson read 2/5 of x, which is (2/5)*x.
The remainder of the novel is (1-2/5)*x = (3/5)*x.
In the afternoon, he read 1/6 of the remainder, which is (1/6)*(3/5)*x = (1/10)*x.
After reading in the afternoon, he still had 170 more pages to read, so:
(3/5)*x - (1/10)*x = 170
Multiplying through the equation by 10 to eliminate the fractions gives:
6x - x = 1700
Simplifying the equation gives:
5x = 1700
Dividing both sides of the equation by 5 gives:
x = 340
Therefore, the total number of pages in the novel is 340 pages.