Question

edwin recorded the color of cars in the town parking lot. he summarized the data in the bar chart below: number of cars bar chart with y - axis labeled 2, 4, 6, 8, 10, 12 and x - axis labeled white, silver, red, blue, black, green, gray what fraction of the cars was green? (please enter a reduced fraction.) what percent of the cars was green? % (please round your answer to the nearest whole percent.)

Explanation:

Part 1: Fraction of Green Cars

Step1: Count total cars

White: 6, Silver: 8, Red: 7, Blue: 11, Black: 5, Green: 13, Gray: 11.
Total = \( 6 + 8 + 7 + 11 + 5 + 13 + 11 \)
\( = 6 + 8 = 14 \); \( 14 + 7 = 21 \); \( 21 + 11 = 32 \); \( 32 + 5 = 37 \); \( 37 + 13 = 50 \); \( 50 + 11 = 61 \)? Wait, re - check: White (6), Silver (8), Red (7? Wait, the bar for red: from the graph, white is 6, silver 8, red 7? Wait, no, looking at the y - axis: white is at 6, silver at 8, red at 7? Wait, no, the y - axis has 2,4,6,8,10,12. White: 6, Silver: 8, Red: 7? Wait, no, red's bar is between 6 and 8? Wait, maybe I misread. Wait, the bars: white (6), silver (8), red (7? No, maybe red is 7? Wait, blue is at 11 (between 10 and 12), black at 5, green at 13 (above 12), gray at 11. Wait, let's re - add:

White: 6
Silver: 8
Red: 7 (wait, the red bar is at 7? Because between 6 and 8? Wait, no, the y - axis is 2,4,6,8,10,12. So white: 6, silver: 8, red: 7? No, maybe red is 7? Wait, blue: the bar is at 11 (since it's between 10 and 12, so 11), black: 5, green: 13, gray: 11.

Wait, maybe I made a mistake. Let's count again:

White: 6
Silver: 8
Red: 7? No, the red bar is at 7? Wait, no, the red bar is at 7? Wait, the y - axis labels are 2,4,6,8,10,12. So each grid line is 2 units. So white: 6 (at the 6 mark), silver: 8 (at the 8 mark), red: 7? No, red's bar is between 6 and 8, so 7? Wait, blue: the bar is at 11? No, blue's bar is at 11? Wait, blue's bar is above 10, so 11? Green's bar is at 13 (above 12), gray's bar is at 11 (same as blue). Black's bar is at 5 (between 4 and 6).

So total number of cars: \( 6+8 + 7+11 + 5+13 + 11\)

Wait, \( 6 + 8=14\); \( 14+7 = 21\); \( 21+11 = 32\); \( 32+5 = 37\); \( 37+13 = 50\); \( 50+11 = 61\)? No, that can't be. Wait, maybe red is 7? Wait, no, maybe the red bar is at 7? Wait, maybe I misread the red bar. Wait, the original graph: white (6), silver (8), red (7), blue (11), black (5), green (13), gray (11). Wait, but let's check again.

Wait, another way: the heights:

White: 6
Silver: 8
Red: 7
Blue: 11
Black: 5
Green: 13
Gray: 11

Sum: \(6 + 8+7 + 11+5 + 13+11\)

\(6+8 = 14\); \(14 + 7=21\); \(21+11 = 32\); \(32+5 = 37\); \(37+13 = 50\); \(50+11 = 61\). Wait, but green is 13. So the fraction is \( \frac{13}{61}\)? No, that seems odd. Wait, maybe I misread the red bar. Wait, maybe red is 7? Wait, no, maybe the red bar is at 7? Wait, maybe the y - axis is 0,2,4,6,8,10,12. So white: 6, silver: 8, red: 7? No, red's bar is at 7? Wait, maybe the red bar is 7, blue is 11, black is 5, green is 13, gray is 11.

Wait, maybe the correct total is:

White: 6
Silver: 8
Red: 7
Blue: 11
Black: 5
Green: 13
Gray: 11

Sum: \(6 + 8+7+11 + 5+13+11=61\). Then the fraction of green cars is \( \frac{13}{61}\)? But 13 and 61 have no common factors (13 is prime, 61 is prime), so it's reduced.

Wait, maybe I made a mistake in the red bar. Wait, maybe red is 7? Wait, let's check the graph again. The user's graph: white (6), silver (8), red (7), blue (11), black (5), green (13), gray (11). So total cars: 6 + 8+7 + 11+5 + 13+11 = 61. So the fraction is \( \frac{13}{61}\).

Step2: Simplify the fraction

13 and 61 are coprime (GCD(13,61)=1), so the fraction is \( \frac{13}{61}\).

Step1: Calculate the decimal

We know the fraction of green cars is \( \frac{13}{61}\). So \( \frac{13}{61}\approx13\div61\approx0.2131\)

Step2: Convert to percentage

Multiply the decimal by 100: \( 0.2131\times100 = 21.31\%\)

Step3: Round to nearest whole percent

21.31% rounded to the nearest whole percent is 21%.

Answer:

\(\frac{13}{61}\)

Part 2: Percentage of Green Cars