Question

For every black car sold at the Finest Car Sales, 4 red ones are sold. A total of 30 red cars and black cars were sold last month. How many cars of each color were sold?

A) 5 black cars and 25 red cars
B) 6 black cars and 24 red cars
C) 7 black cars and 23 red cars
D) 8 black cars and 22 red cars

Answer 1

After setting up an equation based on the ratio given in the problem, it was determined that 6 black cars and 24 red cars were sold at Finest Car Sales last month, corresponding to option B.

Step-by-step explanation:

To solve the problem of determining how many black and red cars were sold at Finest Car Sales last month, we set up a ratio and express the total cars sold as an equation. The problem states that for every black car sold, 4 red cars are sold. We can represent the number of black cars as 'b' and red cars as '4b' since four times as many red cars are sold as black cars.

Now, according to the information given, we have:

b (black cars) + 4b (red cars) = 30 (total cars sold)

Combining like terms, we get:

5b = 30

Dividing both sides by 5, we find:

b = 6

Therefore, if there were 6 black cars sold, there were 4 times that number of red cars sold:

4 × 6 = 24 red cars.

The final answer is:

6 black cars and 24 red cars were sold, which corresponds to option B.