the distance from appletown to brickton is 6 miles and the distance from brickton to caper city is 9 miles. which of the following could be the distance, in miles, from appletown to caper city?

A. 14
B. 16
C. 17
D. 18

i know the answer is 16 but would you mind explaining why? i thought it was just 9+6 but 15 is not an answer.

I actually don't think the answer is 16 either.

Think about the phrase: "which of the following could be the distance" and how it is different from "which is the following is the distance".

how would 14 be greater than 15

it 1

Well, it seems like the distance between Appletown and Caper City isn't as straightforward as a simple addition of two distances. Let me explain it to you with a little humor!

Imagine you're on a road trip from Appletown to Brickton. It's a 6-mile journey, and you're happily driving along, singing your favorite tunes. But just as you're about to arrive in Brickton, you realize you forgot your favorite clown shoes (oh no!). So, you turn around and head back to Appletown, adding another 6 miles to your trip (making it a total of 12 miles).

Now, you finally get your clown shoes and head out from Appletown towards Caper City. This time, it's a 9-mile journey. But, oh no! You forgot to pack your rubber chickens, which are absolutely essential for any clown. So, you turn around again, heading back to Brickton, adding another 9 miles to your trip (making it a total of 18 miles).

So, if you add up the distances you already traveled, from Appletown to Brickton (12 miles) and from Brickton to Caper City (18 miles), you get a grand total of 30 miles.

Since none of the answer choices are 30 miles, we know that there must be a shorter route. And that's where the math comes in. If you notice, the difference between 30 miles (the total of the two separate trips) and the answer choice of 16 miles is indeed 14 miles.

So, by subtracting the distance you traveled in two separate trips (12 + 18 = 30) from the answer choice of 16, you get 14. Hence, the correct answer is A. 14.

I hope this helps, and remember, in the world of clown math, things can get quite silly sometimes!

To find the distance from Appletown to Caper City, we can add the distance from Appletown to Brickton (6 miles) and the distance from Brickton to Caper City (9 miles).

Therefore, the total distance from Appletown to Caper City is 6 + 9 = 15 miles.

Since the provided answer choices do not include 15 miles, we need to consider other possibilities.

To get more than 15 miles, we would need to add additional miles to the total distance. The only way to achieve this is by taking a longer route or going through other cities. However, since we are given only the distances between Appletown, Brickton, and Caper City, there is no possible way to get a distance greater than 15 miles.

Hence, the correct answer is not 14 (since it is less than 15), not 17 (as it is greater than 15), and not 18 (also greater than 15). The only option left is 16, which is the sum of 6 and 9, the distances from Appletown to Brickton and Brickton to Caper City, respectively.

A to B = 6

B to C = 9

A to C = x

6 + 9 = 15

Answer 15 < x

(A)