## A case contains $$c$$ cartons. Each carton contains $$b$$ boxes, and each box contains $$100$$ paper clips. How many

##### This topic has expert replies
Moderator
Posts: 2269
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

### A case contains $$c$$ cartons. Each carton contains $$b$$ boxes, and each box contains $$100$$ paper clips. How many

by AAPL » Sun Jun 19, 2022 9:27 am

00:00

A

B

C

D

E

## Global Stats

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

### GMAT/MBA Expert

GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

### Re: A case contains $$c$$ cartons. Each carton contains $$b$$ boxes, and each box contains $$100$$ paper clips. How many

by Brent@GMATPrepNow » Tue Jun 21, 2022 6:44 am
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

(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

Brent Hanneson - Creator of GMATPrepNow.com

### GMAT/MBA Expert

GMAT Instructor
Posts: 7297
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

### Re: A case contains $$c$$ cartons. Each carton contains $$b$$ boxes, and each box contains $$100$$ paper clips. How many

by Scott@TargetTestPrep » Fri Feb 10, 2023 5:27 am
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
We are given that a case contains c cartons. Each carton contains b boxes, and each box contains 100 paper clips. Thus we can say the following:

c x b x 100 = 100bc paper clips per case

Thus, 2 cases would contain 2 x 100bc = 200bc paper clips.