Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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?

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?
  1. Calculate Remaining Tiles: First, we need to determine the total number of tiles Dalia has left after accounting for the broken tiles. Dalia started with 152152 tiles and 1919 broke.\newlineCalculation: 152152 tiles - 1919 broken tiles = 133133 tiles remaining.
  2. Determine Tiles per Row: Next, we need to figure out how many tiles are needed for one full row. According to the problem, each row requires 9.59.5 tiles.
  3. Calculate Full Rows: Now, we divide the total number of unbroken tiles by the number of tiles required for one row to find out how many full rows can be installed.\newlineCalculation: 133133 tiles ÷\div 9.59.5 tiles/row == 1414 rows.
  4. Check for Whole Number: However, we need to check if the result is a whole number since we can only install full rows. In this case, 1414 is a whole number, so Dalia can install 1414 full rows of unbroken tiles.