Question

Jenny, Kim and Eric were in a hotdog eating contest. Jenny ate two more hotdogs than Eric. Kim ate three times as many hotdogs as Jenny. Write a simplified expression representing the total number of hotdogs eaten by Jenny, Kim, and Eric.

Let "x" represent the number of hotdogs Eric ate. What is the expression in terms of "x" that represents the total number of hotdogs eaten by Jenny, Kim, and Eric?

A) (x + 2) + 3x

B) (x + 2) + x + 3

C) 2x + 3(x + 2)

D) 3x + (x + 2)

Answer 1

The total number of hotdogs eaten by Jenny, Kim, and Eric, in terms of x, is 5x + 8, which is found by adding Eric's x, Jenny's x + 2, and Kim's 3(x + 2) and simplifying.

Step-by-step explanation:

Let x represent the number of hotdogs Eric ate. If Jenny ate two more hotdogs than Eric, then Jenny ate x + 2 hotdogs. The problem also states that Kim ate three times as many hotdogs as Jenny, which can be represented by 3(x + 2).

To find the total number of hotdogs eaten by Jenny, Kim, and Eric, you simply add up all their hotdogs. So, the expression for the total number of hotdogs eaten by the three of them is:

x (Eric's hotdogs) + (x + 2) (Jenny's hotdogs) + 3(x + 2) (Kim's hotdogs)

This can be simplified to:

(x + (x + 2) + 3(x + 2))

We can distribute the 3 in the last term to get:

(x + x + 2 + 3x + 6)

Combining like terms, we have:

5x + 8

Therefore, the correct answer is none of the above options. We have developed a different expression based on the given statements.