Question

17. Emily was assigned a novel to read for her English class. She finished half the book on Monday and 90 pages on Tuesday. If she still has 1/8 of the book left to read, how many pages are left to read?

(A) 30 pages
(B) 90 pages
(C) 144 pages
(D) 240 pages

Answer 1

(A) 30 pages

Explanation:

Let x = total number of pages in the book.

She read half the book in Monday. She read x/2.

She read 90 pages on Tuesday. By now she read a total of x/2 + 90.

She has 1/8 left to go. That means she read 7/8 of the book.

7/8 x = x/2 + 90

Multiply both sides by 8.

8 × 7/8 x = 8 × x/2 + 8 × 90

7x = 4x + 720

3x = 720

x = 240

The book is 240 pages long.

She has 1/8 to go.

1/8 × 240 = 30

Answer: (A) 30 pages