Question

In a special 6-day tent sale offer, a car company sold a total of 150 cars. Each day, the company sold 6 more cars than the day before. How many cars were sold on the 6th day?

A) 36
B) 24
C) 42
D) 18

Answer 1

To find out how many cars were sold on the 6th day, we need to determine the pattern of car sales each day. By using a sequence, we find that on the 6th day, the company sold 48 cars.

Step-by-step explanation:

To find out how many cars were sold on the 6th day, we need to determine the pattern of car sales each day. Since the company sold 6 more cars than the day before, we can create a sequence: 1st day: x cars; 2nd day: x + 6 cars; 3rd day: (x + 6) + 6 cars; and so on. We can use this sequence to find the number of cars sold on the 6th day by substituting the values.

Let's assume that on the 1st day, x cars were sold. On the 6th day, the company would have sold: x + 6 + 6 + 6 + 6 + 6 cars. Simplifying this, we get: x + 30 cars.

Since a total of 150 cars were sold during the tent sale offer, we can set up an equation: x + (x + 6) + (x + 12) + (x + 18) + (x + 24) + (x + 30) = 150. Solving for x, we find that x = 18. Therefore, on the 6th day, the company sold 18 + 30 = 48 cars.