Question

how many in all?
this drawing shows a kitchen counter that was covered with two different color tiles: grey tiles on the left, and white tiles on the right.
image of a grid
write one multiplication expression for the number of gray tiles:
write another multiplication expression for the number of white tiles:
write one equation that combines the two expressions and that shows the total number of tiles that cover the counter:

Explanation:

Step1: Analyze Grey Tiles

Assume grey tiles are in a rectangle. Let's say grey tiles have 6 rows and 6 columns? Wait, no, looking at the grid: total columns 8, maybe grey is left 6 columns? Wait, the grid has 8 columns (since from left to right, 8 squares per row) and 5 rows? Wait, the drawing: let's count rows and columns. The grid has 5 rows (vertical) and 8 columns (horizontal)? Wait, no, the lines: let's see, the grid has 5 horizontal lines (so 5 rows) and 8 vertical lines (so 8 columns)? Wait, no, each cell is a tile. Let's count the number of rows and columns for grey. Suppose grey tiles are 6 columns (left 6) and 5 rows? Wait, maybe the grid is 5 rows (height) and 8 columns (width). Let's re-express:

Looking at the grid: the number of rows (vertical cells) is 5? Wait, the drawing shows a grid with 5 horizontal divisions (so 5 rows) and 8 vertical divisions (8 columns). Wait, no, each square is a tile. Let's count:

For grey tiles: suppose the left part is 6 columns (since the problem says grey on left, white on right). So grey tiles: number of rows × number of columns. Let's say the grid has 5 rows (since there are 5 horizontal lines making 5 rows) and 6 columns for grey. So grey tiles: \( 5 \times 6 \) (or \( 6 \times 5 \)).

Step2: Analyze White Tiles

White tiles are on the right. Total columns 8, so white columns: \( 8 - 6 = 2 \). So white tiles: number of rows (5) × number of white columns (2). So white tiles: \( 5 \times 2 \) (or \( 2 \times 5 \)).

Step3: Total Tiles

Total tiles = grey tiles + white tiles. So equation: \( 5 \times 6 + 5 \times 2 \) (or using distributive property: \( 5 \times (6 + 2) = 5 \times 8 \)).

Answer:

• Grey tiles: \( 5 \times 6 \) (or \( 6 \times 5 \))
• White tiles: \( 5 \times 2 \) (or \( 2 \times 5 \))
• Total: \( 5 \times 6 + 5 \times 2 = 5 \times 8 = 40 \) (or other equivalent expressions)