Scott and William are reading the same book for their English class. Scott is currently on page 150, and William is on page 66. Scott reads 10 pages each day, and William reads 22 pages each day. Which equation can you use to find d, the number of days it will take for William to have read as many pages as Scott? Choices: (A)150 + 10d = 66 + 22d (B)150 + 22d = 66 + 10d How many days will it take for William to have read as many pages as Scott? ____ days

Question

Scott and William are reading the same book for their English class. Scott is currently on page 150, and William is on page 66. Scott reads 10 pages each day, and William reads 22 pages each day. Which equation can you use to find d, the number of days it will take for William to have read as many pages as Scott?   Choices: (A)150 + 10d = 66 + 22d (B)150 + 22d = 66 + 10d  How many days will it take for William to have read as many pages as Scott?   ____ days

Bytelearn · Accepted Answer

Set Up Equation: Let's set up an equation where the total pages read by Scott equals the total pages read by William after d days. Scott starts at page 150 and reads 10 pages per day, so his total after d days is 150 + 10d. William starts at page 66 and reads 22 pages per day, so his total after d days is 66 + 22d. We want to find the value of d when these two expressions are equal.Equation Representation: The correct equation to represent this situation is: 150 + 10d = 66 + 22d This is because we are looking for the point at which the total pages read by both Scott and William are the same.Combine Like Terms: To solve for d, we need to get all the d terms on one side and the constants on the other. Let's subtract 10d from both sides to get: 150 = 66 + 12dIsolate Variable: Now, let's subtract 66 from both sides to isolate the term with d: 150 - 66 = 12d 84 = 12dSolve for d: Finally, we divide both sides by 12 to solve for d: 84 / 12 = d 7 = d

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