(1) Scott and william are reading the same book for their English class. Scott is currently on page 150 , and willam is on page 66 . Scott reads 10 pages each day, and William reads 22 pages each day. 4i) 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? \[ 150+10 d=66+22 d \] \[ 150+22 d=66+10 d \] 4)) How many days will it take for William to have read as many pages as Scott? 4)) \( \square \) days
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The Deep Dive
To find how many days it will take for William to read as many pages as Scott, we can start with the equation \( 150 + 10d = 66 + 22d \). This equation sets Scott's total pages read equal to William's total pages read after \( d \) days. By rearranging the equation: 1. Subtract \( 10d \) from both sides: \( 150 = 66 + 12d \). 2. Then, isolate \( d \) by subtracting 66 from both sides: \( 84 = 12d \). 3. Finally, divide by 12: \( d = 7 \) days. So, it will take William \( 7 \) days to catch up with Scott! Now, here's something cool: Did you know that reading speed varies by book genre? People often read fiction faster than non-fiction because narratives tend to draw readers in emotionally. So, if Scott and William were reading a gripping thriller, they might finish quicker than if it were a complex textbook! Also, if they’re aiming to read more efficiently, summarizing chapters as they go can help retain the information better. Staying engaged through note-taking or discussing with each other can keep the reading experience fun and more effective!
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