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Rachel read 3 more books than Topher did over their summer vacation. If Rachel read 7 books, how many books did Topher read? Choose 1 answer: (A) 3 (B) 4 (C) 7 (D) 10

Rachel read 33 more books than Topher did over their summer vacation. If Rachel read 77 books, how many books did Topher read?\newlineChoose 11 answer:\newline(A) 33\newline(B) 44\newline(C) 77\newline(D) 1010

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Full solution

Q. Rachel read 33 more books than Topher did over their summer vacation. If Rachel read 77 books, how many books did Topher read?\newlineChoose 11 answer:\newline(A) 33\newline(B) 44\newline(C) 77\newline(D) 1010
  1. Understand Relationship: Understand the relationship between the number of books Rachel and Topher read. Rachel read 33 more books than Topher. If we let the number of books Topher read be TT, then the number of books Rachel read is T+3T + 3.
  2. Set Up Equation: Set up the equation based on the information given.\newlineWe know Rachel read 77 books, so we can write the equation T+3=7T + 3 = 7, where TT is the number of books Topher read.
  3. Solve for T: Solve for T.\newlineSubtract 33 from both sides of the equation to find the value of T.\newlineT+3−3=7−3T + 3 - 3 = 7 - 3\newlineT=4T = 4
  4. Verify Solution: Verify the solution.\newlineIf Topher read 44 books, then Rachel read 4+3=74 + 3 = 7 books, which matches the information given. Therefore, the solution is correct.

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