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? Choices: (A)j + 10 = j + j + 14 (B)j + 10 + 14 = j + j How many pages did Julia read during the first week? ____ pages

Question

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?   Choices: (A)j + 10 = j + j + 14 (B)j + 10 + 14 = j + j  How many pages did Julia read during the first week?   ____ pages

Bytelearn · Accepted Answer

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: j + j + 10 = j + 14Simplify Equation:  Simplify the equation: 2j + 10 = j + 14Isolate Terms:  Subtract j from both sides to isolate terms with j on one side: 2j - j + 10 = 14Further Simplify:  Simplify further: j + 10 = 14Subtract 10:  Subtract 10 from both sides to solve for j: j = 14 - 10Calculate Final Value:  Calculate the final value: j = 4

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