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

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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

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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

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

by [email protected] » 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