Pregunta
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(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

Ask by Lang Phillips. in the United States
Jan 10,2025

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4i) The equation is \( 150 + 10d = 66 + 22d \). 4ii) It will take 7 days for William to have read as many pages as Scott.

Solución

Let's solve each part of the problem step-by-step. ### 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?** To find when William has read as many pages as Scott, set their page counts equal to each other: - **Scott's page count after \( d \) days:** \( 150 + 10d \) - **William's page count after \( d \) days:** \( 66 + 22d \) So, the equation you can use is: \[ 150 + 10d = 66 + 22d \] ### 4ii) **How many days will it take for William to have read as many pages as Scott?** Now, solve the equation for \( d \): \[ 150 + 10d = 66 + 22d \] 1. **Subtract 10d from both sides:** \[ 150 = 66 + 12d \] 2. **Subtract 66 from both sides:** \[ 84 = 12d \] 3. **Divide both sides by 12:** \[ d = 7 \] **It will take 7 days for William to have read as many pages as Scott.** --- **Final Answers:** 4i) \[ 150 + 10d = 66 + 22d \] 4ii) \( \boxed{7} \) 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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