Question

m.14 solve equations with variables on both sides: word probl...
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 = j + j + 14
j + 10 + 14 = j + j
how many pages did julia read during the first week?
pages

Explanation:

Part 1: Choosing the Correct Equation

Let \( j \) be the pages Julia read in the first week. Lena read \( j + 10 \) pages in the first week. In the second week, Lena read 14 pages, and Julia read \( j \) pages (same as first week). Total pages for Lena: \( (j + 10) + 14 \). Total pages for Julia: \( j + j \). Since they end on the same page, the equation is \( j + 10 + 14 = j + j \). The first equation is incorrect as it misrepresents Julia's total.

Step 1: Simplify both sides

Simplify left side: \( j + 24 \). Simplify right side: \( 2j \). Equation: \( j + 24 = 2j \)

Step 2: Subtract \( j \) from both sides

\( j + 24 - j = 2j - j \) → \( 24 = j \)

Answer:

\( j + 10 + 14 = j + j \)

Part 2: Solving for \( j \)