Question

The ratio of cars to trucks in a parking lot is 9:5. Cole states that there must be exactly 4 more cars than trucks in the parking lot. Determine a number of cars and trucks in the parking lot to show Cole's statment is false.

Answer 1

Let's start by assuming that there are 9 cars and 5 trucks in the parking lot, since the ratio of cars to trucks is 9:5.

If there are 5 trucks, then there must be 9 + 4 = 13 cars in order for Cole's statement to be true.

However, this would mean that the ratio of cars to trucks is 13:5, which is not the same as the original ratio of 9:5.

To show that Cole's statement is false, we need to find a different number of cars and trucks that satisfies the original ratio of 9:5, but does not have exactly 4 more cars than trucks.

For example, if there are 18 cars and 10 trucks in the parking lot, then the ratio of cars to trucks is still 9:5. However, there are 8 more cars than trucks, not 4 more.

Therefore, Cole's statement is false.