Jeanette and Carlos are participating in a novel-writing challenge. Jeanette has already started her novel and has written 48 pages so far. She will write an additional 4 pages each week. Carlos is just getting started, and he will write 10 pages each week. Which equation can you use to find w, the number of weeks it will take for Carlos to write as many pages as Jeanette? Choices: (A)48 + 10w = 4w (B)48 + 4w = 10w How long will it take for Carlos to have written as many pages as Jeanette? ____ weeks

Question

Jeanette and Carlos are participating in a novel-writing challenge. Jeanette has already started her novel and has written 48 pages so far. She will write an additional 4 pages each week. Carlos is just getting started, and he will write 10 pages each week. Which equation can you use to find w, the number of weeks it will take for Carlos to write as many pages as Jeanette?   Choices: (A)48 + 10w = 4w (B)48 + 4w = 10w  How long will it take for Carlos to have written as many pages as Jeanette?   ____ weeks

Bytelearn · Accepted Answer

Set Up Equation: Let's set up the equation to represent the total number of pages written by Jeanette and Carlos. Jeanette has already written 48 pages and writes 4 more each week. Carlos writes 10 pages each week. We want to find the number of weeks, w, it will take for Carlos to have written as many pages as Jeanette.Calculate Total Pages: Jeanette's total pages after w weeks will be her initial 48 pages plus 4 pages for each week, which is 48 + 4w. Carlos's total pages after w weeks will be 10 pages for each week, which is 10w. We set these equal to each other to find when they will have written the same number of pages: 48 + 4w = 10w.Solve for w: Now we need to solve for w. We can do this by subtracting 4w from both sides of the equation to get all the w terms on one side: 48 + 4w - 4w = 10w - 4w.Divide to Find w: Simplifying both sides of the equation gives us 48 = 6w.To find w, we divide both sides of the equation by 6: 48 / 6 = 6w / 6.Calculating the division gives us w = 8. So it will take Carlos 8 weeks to have written as many pages as Jeanette.

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