AAPL wrote: ↑Sun Jun 19, 2022 9:27 am

**Official Guide**
A case contains \(c\) cartons. Each carton contains \(b\) boxes, and each box contains \(100\) paper clips. How many paper clips are contained in \(2\) cases?

A. \(100bc\)

B. \(\dfrac{100b}{c}\)

C. \(200bc\)

D. \(\dfrac{200b}{c}\)

E. \(\dfrac{200}{bc}\)

OA

C

Let's solve using the INPUT-OUTPUT approach

Let b =

3 and c =

5
So, a case contains

5 cartons. Each carton contains

3 boxes, and each box contains 100 paper clips.

So, the number of paper clips in 1 case = (100)(

5)(

3) = 1500

**How many paper clips are contained in 2 cases?**
The number of paper clips in 2 cases =

3000
So, we're looking for the answer choice so that when we INPUT b =

3 and c =

5, we get an OUTPUT of

3000
Now check the answer choices:

(A) 100(

3)(

5) =

1500 ELIMINATE

(B) 100(

3)/(

5) =

60 ELIMINATE

(C) 200(

3)(

5) =

3000 KEEP!!

(D) 200(

3)/(

5) =

120 ELIMINATE

(E) 200/(

3)(

5) =

200/15 ELIMINATE

Answer: C