You are planing to put a title border along a 175-inch-wide wall in your kitchen. You want to use only whole titles. List all the possible whole number title widths of 8 inches or less, what size title could you use? 8 inch or 4 inch
175 = 5*5*7
so, you can use 35 5" tiles or 25 7" tiles, if you don't want to cut any tiles.
Not counting grout!
To find all the possible whole number tile widths that are 8 inches or less, you can divide the width of the wall (175 inches) by each whole number from 1 to 8, and check if the result is a whole number.
Let's go through the calculations:
1. Dividing 175 by 1: 175 ÷ 1 = 175, which is a whole number.
2. Dividing 175 by 2: 175 ÷ 2 = 87.5, which is not a whole number.
3. Dividing 175 by 3: 175 ÷ 3 = 58.333, which is not a whole number.
4. Dividing 175 by 4: 175 ÷ 4 = 43.75, which is not a whole number.
5. Dividing 175 by 5: 175 ÷ 5 = 35, which is a whole number.
6. Dividing 175 by 6: 175 ÷ 6 = 29.167, which is not a whole number.
7. Dividing 175 by 7: 175 ÷ 7 = 25, which is a whole number.
8. Dividing 175 by 8: 175 ÷ 8 = 21.875, which is not a whole number.
Based on these calculations, the possible whole number tile widths of 8 inches or less that can be used on the 175-inch-wide wall are: 1 inch, 5 inches, and 7 inches.
Therefore, you can use either 1-inch, 5-inch, or 7-inch tiles to border the wall.