207k views
1 vote
Julie read 1/2 of a book in the morning, and she read some more at night. By the end of the day, she still had 2/5 of the book left to read. How much of the book did julie read at night?

User Profhoff
by
8.2k points

2 Answers

6 votes

Answer: she read 1/10 of the book at night.

Explanation:

Let x represent how much of the book that Julie read at night.

Julie read 1/2 of a book in the morning, and she read some more at night. This means that she has read

1/2 + x = (1 + 2x)/2 of the book by night. The portion of the book remaining would be

1 - (1 + 2x)/2 = [2 - (1 + 2x)]/2

= (1 - 2x)/2

By the end of the day, she still had 2/5 of the book left to read. Therefore,

(1 - 2x)/2 = 2/5

Cross multiplying,

5(1 - 2x) = 2 × 2

5 - 10x = 4

10x = 5 - 4 = 1

x = 1/10

User Pranita Patil
by
8.4k points
5 votes

Answer:

1/10

Explanation:

Julie read 5/10 in the morning and had 4/10 left to read after what she read at night. At night, she read ...

1 - 1/2 -2/5 = 10/10 -5/10 -4/10 = 1/10

Julie read 1/10 of the book at night.

User Patrick Janser
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.