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A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver, and white cars. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month? A. 36% B. 50% C. 55% D. 60% E. 72%

User Mindvirus
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Final answer:

Approximately 74% of the cars in the shipment were sold during the month.

Step-by-step explanation:

To find the percent of cars sold during the month, we need to calculate the total number of cars and the number of cars sold.

We are given that half of the cars were black. So, the remaining half consists of blue, silver, and white cars. Let's assume that each of these colors represents x number of cars. Therefore, the total number of cars can be expressed as:

Total number of cars = Number of black cars + Number of blue cars + Number of silver cars + Number of white cars

Total number of cars = (1/2)x + x + x + x

Total number of cars = 5x/2

Now, let's calculate the number of cars sold:

Number of black cars sold = 70% of black cars = 0.7 * (1/2)x = 0.35x

Number of blue cars sold = 80% of blue cars = 0.8 * x = 0.8x

Number of silver cars sold = 30% of silver cars = 0.3 * x = 0.3x

Number of white cars sold = 40% of white cars = 0.4 * x = 0.4x

The total number of cars sold can be found by adding the number of cars sold for each color:

Total number of cars sold = Number of black cars sold + Number of blue cars sold + Number of silver cars sold + Number of white cars sold

Total number of cars sold = 0.35x + 0.8x + 0.3x + 0.4x = 1.85x

To find the percent of cars sold, we divide the total number of cars sold by the total number of cars and multiply by 100:

Percent of cars sold = (Total number of cars sold / Total number of cars) * 100

Percent of cars sold = (1.85x / (5x/2)) * 100

Simplifying the expression, we get:

Percent of cars sold = (370/5)% = 74%

Therefore, approximately 74% of the cars in the shipment were sold during the month. Googel wowwwwwwwww

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User Bill Agee
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