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Q. 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%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Select a single answer choice.Q. A car dealer received a ...
Answer:

To find the percentage of cars sold during the month, we need to determine the proportion of cars sold out of the total number of cars in the shipment.

Let's assume the total number of cars in the shipment is x.

Given information:
- Half of the cars are black, so the number of black cars is x/2.
- The remaining cars consist of equal numbers of blue, silver, and white cars. Therefore, the number of each of these cars is (x - x/2)/3 = x/6.

Now, let's calculate the number of cars sold for each color:
- 70% of the black cars were sold, so the number of black cars sold is 0.7 * (x/2) = 0.35x.
- 80% of the blue cars were sold, so the number of blue cars sold is 0.8 * (x/6) = 0.1333x.
- 30% of the silver cars were sold, so the number of silver cars sold is 0.3 * (x/6) = 0.05x.
- 40% of the white cars were sold, so the number of white cars sold is 0.4 * (x/6) = 0.0667x.

To find the total number of cars sold, we add up the number of cars sold for each color:
Total cars sold = 0.35x + 0.1333x + 0.05x + 0.0667x
= 0.599x

Now, to find the percentage of cars sold, we divide the total number of cars sold by the total number of cars in the shipment and multiply by 100:
Percentage of cars sold = (0.599x / x) * 100
= 59.9%

Therefore, approximately 60% of the cars in the shipment were sold during the month.

So, the correct answer is option 'D' (60%).
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Community Answer
Directions: Select a single answer choice.Q. A car dealer received a ...
In the shipment, 1/2 of the cars were black. Since the remainder of the cars consisted of equal numbers of blue, silver, and white cars, it follows that (1/3)(1/2), or 1/6, of the cars were blue, 1/6 were silver, 1/6 and were white. Based on the percents of the cars of each color that were sold during the next month, the percent of the cars in the shipment that were sold during that month was
The correct answer is Choice D.
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Directions: Select a single answer choice.Q. 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%Correct answer is option 'D'. Can you explain this answer?
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