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Ms. Johnston, the head librarian at the Grant County Library, can spend at most $3,200\$3,200 to expand the children's section of the library. When she buys from a particular discount seller, paperback books cost $2\$2 each and hardback books cost $22\$22 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of paperback books\newliney=y = the number of hardback books\newlineChoices:\newline(A) 2x+22y≤3,2002x + 22y \leq 3,200\newline(B) 2+x+22+y≤3,2002 + x + 22 + y \leq 3,200\newline(C) 22+x+2+y≤3,20022 + x + 2 + y \leq 3,200\newline(D) 22x+2y≤3,20022x + 2y \leq 3,200

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Q. Ms. Johnston, the head librarian at the Grant County Library, can spend at most $3,200\$3,200 to expand the children's section of the library. When she buys from a particular discount seller, paperback books cost $2\$2 each and hardback books cost $22\$22 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of paperback books\newliney=y = the number of hardback books\newlineChoices:\newline(A) 2x+22y≤3,2002x + 22y \leq 3,200\newline(B) 2+x+22+y≤3,2002 + x + 22 + y \leq 3,200\newline(C) 22+x+2+y≤3,20022 + x + 2 + y \leq 3,200\newline(D) 22x+2y≤3,20022x + 2y \leq 3,200
  1. Calculate Paperback Books Cost: Paperback books cost $2\$2 each, so the total cost for xx paperback books is 2x2x dollars.
  2. Calculate Hardback Books Cost: Hardback books cost $22\$22 each, so the total cost for yy hardback books is 22y22y dollars.
  3. Calculate Total Cost: The total cost for both paperback and hardback books is 2x+22y2x + 22y dollars.
  4. Determine Maximum Budget: Ms. Johnston can spend at most \$\(3\),\(200\), so the total cost must be less than or equal to \$\(3\),\(200\).
  5. Formulate Inequality: The inequality that represents this situation is \(2x + 22y \leq 3,200\).

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