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Answer :
Final answer:
The total number of books read over the summer by Zeke, Michelle, and Tay is represented by the algebraic expression 4z + 3, where z is the number of books Zeke read.
Explanation:
The question asks us to find an expression that represents the total number of books read by three individuals: Zeke, Michelle, and Tay.
Let's denote the number of books Zeke read over the summer as z.
According to the problem, Michelle read twice as many books as Zeke, which can be represented as 2z.
Tay read 3 more books than Zeke, which is represented as z + 3.
To find the total number of books read by all three, we would add together all of their individual totals:
Total number of books = Zeke's books + Michelle's books + Tay's books
Total number of books = z + 2z + (z + 3)
Now we simplify the expression:
Total number of books = z + 2z + z + 3
Combine like terms (add all the z's together):
Total number of books = 4z + 3
Therefore, the expression that represents the total number of books read over the summer by Zeke, Michelle, and Tay is 4z + 3.
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Answer: 4z + 3
Step-by-step explanation:
Number of books read by Zeke = z
Michelle read twice as many book as Zeke. This will be: = 2 × z = 2z
Tay read 3 more books than Zeke. This will be: = z + 3
The expression that represents the total number of books read over the summer by Zeke, Michelle and Tay would be the addition of the books read by each person. This will be:
= z + 2z + z + 3
= 4z + 3
