Mathis Williams
04/20/2024 · Middle School
Learn with an example \( v \) or Watch a video (0) Julia and Lena started reading a science fiction book at the same time. During the first week, Lena read 10 more pages than Julia. The following week, Lena read 14 pages, and Julia read the same number of pages she read the first week. Now they are on the same page. Which equation can you use to find \( j \), the number of pages Julia read during the first week? \( j+10+14=j+j \) How many pages did Julia read during the first week? Submit pages
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Step-by-step Solution
Let's break down the problem step by step.
1. Let \( j \) be the number of pages Julia read during the first week.
2. According to the problem, Lena read 10 more pages than Julia during the first week, so she read \( j + 10 \) pages.
3. In the second week, Lena read 14 pages, and Julia read the same number of pages she read in the first week, which is \( j \).
Now, we can set up the equation based on the information given:
- Total pages read by Julia after two weeks: \( j + j = 2j \)
- Total pages read by Lena after two weeks: \( (j + 10) + 14 = j + 24 \)
Since they are on the same page after two weeks, we can set the two expressions equal to each other:
\[
2j = j + 24
\]
Now, we can solve for \( j \):
1. Subtract \( j \) from both sides:
\[
2j - j = 24
\]
\[
j = 24
\]
So, Julia read **24 pages** during the first week.
Quick Answer
Julia read 24 pages during the first week.
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