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. $\newline$ Which equation can you use to find $j$ , the number of pages Julia read during the first week? $\newline$ Choices: $\newline$ (A) $j + 10 = j + j + 14$ $\newline$ (B) $j + 10 + 14 = j + j$ $\newline$ How many pages did Julia read during the first week? $\newline$ ____ pages

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Q. 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.

\newline

Which equation can you use to find

j

, the number of pages Julia read during the first week?

\newline

Choices:

\newline

(A)

j + 10 = j + j + 14

\newline

(B)

j + 10 + 14 = j + j

\newline

How many pages did Julia read during the first week?

\newline

____ pages

Identify Equation: Let's figure out the equation that fits the scenario. Lena read $10$ more pages than Julia in the first week, so if Julia read $j$ pages, Lena read $j + 10$ pages. In the second week, Julia read $j$ pages again, and Lena read $14$ pages. By the end of the second week, they've read the same total number of pages. So, the equation is: $\newline$ $j + j + 10 = j + 14$
Simplify Equation: Simplify the equation: $2j + 10 = j + 14$
Isolate Terms: Subtract $j$ from both sides to isolate terms with $j$ on one side: $\newline$ $2j - j + 10 = 14$
Further Simplify: Simplify further: $j + 10 = 14$
Subtract $10$ : Subtract $10$ from both sides to solve for $j$ : $\newline$ $j = 14 - 10$
Calculate Final Value: Calculate the final value: $j = 4$