Question

in a parking lot, __ out of __ vehicles are black. what fraction, decimal and percent represent the number of black vehicles?
fraction
percent
decimal

Explanation:

Step1: Count total and shaded squares

The grid has 10 columns and 8 rows, so total squares \( 10 \times 8 = 80 \)? Wait, no, looking at the grid: rows with shading: 5 rows (each 10 columns), unshaded: 3 rows. Wait, no, let's count again. Wait, the grid is 10 columns (horizontal) and 8 rows (vertical)? Wait, no, the shaded part: let's see, the first 5 rows (each 10 cells) are shaded? Wait, no, the grid: columns (x-axis) 10, rows (y-axis) 8. Wait, shaded cells: 5 rows × 10 columns = 50? Wait, no, the image: let's count the shaded rows. Wait, the grid has 8 rows (vertical) and 10 columns (horizontal). Wait, the first 5 rows (from top) are shaded, each with 10 cells, then 3 rows unshaded. So total cells: \( 10 \times 8 = 80 \)? Wait, no, maybe 10 columns and 8 rows? Wait, no, maybe 10 columns and 8 rows? Wait, no, the standard grid for such problems is 10x10, but here it's 10 columns and 8 rows? Wait, no, looking at the image: the shaded area is 5 rows (each 10 cells) and unshaded 3 rows. So shaded cells: \( 5 \times 10 = 50 \), total cells: \( 8 \times 10 = 80 \)? Wait, no, maybe I miscounted. Wait, the grid: let's see, the vertical lines (columns) are 10, horizontal lines (rows) are 8. So total cells: \( 10 \times 8 = 80 \). Shaded cells: 5 rows (each 10) so 50. Wait, but maybe it's 10 columns and 8 rows? Wait, no, maybe the grid is 10 columns and 8 rows, so total cells \( 10 \times 8 = 80 \), shaded cells \( 5 \times 10 = 50 \). Wait, but maybe I made a mistake. Wait, no, let's check again. The problem is about a parking lot, but the grid is for fraction/decimal/percent. Wait, maybe the grid is 10 columns and 8 rows, but maybe the shaded is 50 out of 80? No, that can't be. Wait, no, maybe the grid is 10x8, but the shaded is 5 rows (10 each) so 50, total 80. Wait, but let's do it properly.

Wait, the grid: columns (x) = 10, rows (y) = 8. So total cells \( 10 \times 8 = 80 \). Shaded cells: 5 rows (each 10) → 50. So fraction: \( \frac{50}{80} = \frac{5}{8} \). Decimal: \( 5 \div 8 = 0.625 \). Percent: \( 0.625 \times 100 = 62.5\% \). Wait, but maybe the grid is 10x10? Wait, no, the image shows 8 rows (vertical) and 10 columns (horizontal). Wait, maybe the user made a typo, but let's proceed with the grid as 10 columns and 8 rows, shaded 5 rows (50 cells), total 80. Wait, no, maybe the grid is 10x8, but the shaded is 50? Wait, no, maybe I miscounted the rows. Wait, the shaded part: let's count the number of shaded cells. Each row has 10 cells. Let's count the shaded rows: 5 rows (each 10 cells) → 50, unshaded: 3 rows (each 10 cells) → 30. Total cells: 50 + 30 = 80. So fraction: \( \frac{50}{80} = \frac{5}{8} \), decimal: \( 5 \div 8 = 0.625 \), percent: \( 62.5\% \).

Wait, but maybe the grid is 10x8, but the problem is about a parking lot with, say, 50 out of 80? No, maybe the grid is 10 columns and 8 rows, but the shaded is 5 rows (10 each) so 50. So:

Step1: Count total and shaded cells

Total cells (total vehicles, assuming each cell is a vehicle) \( 10 \times 8 = 80 \)? Wait, no, maybe the grid is 10 columns and 8 rows, but the shaded is 50? Wait, no, maybe I made a mistake. Wait, the standard problem like this: if it's a 10x8 grid, shaded 5 rows (10 each) → 50, total 80. So fraction: \( \frac{50}{80} = \frac{5}{8} \), decimal: \( 5 \div 8 = 0.625 \), percent: \( 62.5\% \).

Wait, but maybe the grid is 10 columns and 8 rows, but the shaded is 50. So:

Fraction: \( \frac{50}{80} = \frac{5}{8} \) (simplified by dividing numerator and denominator by 10, then 5/8).

Decimal: \( 5 \div 8 = 0.625 \).

Percent: \( 0.625 \times 100 = 6…

Answer:

Fraction: \( \frac{5}{8} \), Decimal: \( 0.625 \), Percent: \( 62.5\% \) (assuming total vehicles 80, black vehicles 50). Wait, but maybe the grid is 10x8, shaded 50. So the fraction is \( \frac{50}{80} = \frac{5}{8} \), decimal 0.625, percent 62.5%.