The average number of cars sold by an automobile dealer in six months is 100. If he sold 120, 80, 110, 80, and 90 cars in the first five months, how many cars were sold by him in the sixth month?

To find out how many cars were sold by the automobile dealer in the sixth month, we need to calculate the total number of cars sold in the first five months and subtract it from the average number of cars sold in six months.

Add the number of cars sold in the first five months: 120 + 80 + 110 + 80 + 90 = 480
Subtract the total from the average number of cars sold in six months: 100 - 480 = -380

Since the number of cars sold cannot be negative, we can conclude that the dealer did not sell any cars in the sixth month.

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Riffi11 Riffi11 · Answer 2 · 2024-11-01T15:39:46-04:00

Final answer:

The dealer sold 120 cars in the sixth month to maintain an average of 100 cars sold per month over six months.

Explanation:

This is a question from the field of mathematics, specifically dealing with averages.

The dealer sells an average of 100 cars for every six month period. We have the sales figures for five of those months: 120, 80, 110, 80, and 90 cars. So we add those up, which gives 480 cars.

Since the average sales for six months is 100 cars/month, that means the total for six months should be 100 cars/month * 6 months = 600 cars.

Taking the total six month amount (600) and subtracting the sum of the first five months (480), we find that the dealer would have sold 120 cars in the sixth month.

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