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Dalia is installing a tile floor in a rectangular room. Dalia has 152 tiles available to tile the room. If each row requires 9.5 tiles, and 19 tiles broke while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles? Choose 1 answer: 12 (B) 14 (C) 16 (D) 18

Dalia is installing a tile floor in a rectangular room. Dalia has 152152 tiles available to tile the room. If each row requires 9.59.5 tiles, and 1919 tiles broke while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?\newlineChoose 11 answer:\newline(A) 1212\newline(B) 1414\newline(C) 1616\newline(D) 1818

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Full solution

Q. Dalia is installing a tile floor in a rectangular room. Dalia has 152152 tiles available to tile the room. If each row requires 9.59.5 tiles, and 1919 tiles broke while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?\newlineChoose 11 answer:\newline(A) 1212\newline(B) 1414\newline(C) 1616\newline(D) 1818
  1. Calculate total tiles: Calculate the total number of tiles available after accounting for the broken tiles. 152152 tiles available −- 1919 broken tiles == 133133 tiles remaining.
  2. Determine full rows: Determine how many full rows can be installed with the remaining tiles.\newlineSince each row requires 9.59.5 tiles, we divide the number of remaining tiles by the number of tiles per row.\newline133133 tiles remaining // 9.59.5 tiles per row =14= 14 rows.
  3. Check whole number: Check if the number of rows is a whole number since we can only install full rows.\newline1414 is a whole number, so Dalia can install 1414 full rows of unbroken tile.

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