there are 27 more green cars than black cars in the parking lot. What percentage of the cars in the parking lot are green? What percent are black?

Respuesta :

Answer:

Black is 3.57%

Green is 96.43%

Step-by-step explanation:

Since 27 green than black

Let the black car be b

So green cars which 27 more than black means 27b

So to calculate the percentage of green we will have

27b/27b+b ×100

27b/28b ×100

Let's eliminate the b

27/28×100

2700/28

96.43%

So let's calculate for Black

b/27b+b ×100

b/28b ×100

Eliminate b

1/28 ×100

100/28

3.57%

Therefore the percentage for Black is 3.57% and for green is 96.43%

Percentage of black & green cars = 36.5 % & 63.5% respectively

Calculation of Percentage cars

Let the total number of cars = 100

Let the number of black cars = x

So, number of green cars, ie 27 more than black cars = x + 27 {i}

Or, It can be 'total cars - black cars' = 100 - x {ii}

Equating {i} & {ii}, we get

x + 27 = 100 - x

x + x = 100 - 27

2x = 73

x = 73 / 2

x = 36.5  {Percentage of black cars}

So, green cars = 36.5 + 27 = 63.5 ; or 100 - 36.5 = 63.5 percent

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