Question

Mary, James and Carlos sold 1/4 page advertisements for the school yearbook. Mary sold twice as many as Carlos did, and James sold 3 times as many as Mary did. What fraction of these advertisements did Carlos sell?
Answer Choices
A. 1/9
B. 1/7
C. 1/6
D. 1/5
E. 1/3

Please explain how you got your answer!!

Answer 1

A fraction is a number that represents part of a whole, and therefore, it is not a whole number

The correct option for the fraction of the adverts Carlos did sell is option A.

A. 1/9

Reason:

Known parameter are;

Number of 1/4 page advertisement Mary sold = Twice the number of page advertisement Carlos sold

The number of 1/4 page adverts James sold = 3 times the number  Mary sold

Let x represent the number of adverts Mary sold, ley y represent the number of adverts Carlos sold, and let z represent the number of adverts James sold, we have;

• x = 2·y

z = 3·x

Therefore, we have;

z = 2 × 3·y = 6·y

• z = 6·y

• The total number of adverts sold, N = x + y + z

Substituting x = 2·y, and z = 6·y, gives;

• N = 2·y + 6·y + y = 9·y

The total number of adverts sold = 9·y

The number of adverts Carlos sold = y

• $The \ fraction \ of \ the \ advertisement \ sold \ by \ Carlos = \dfrac{y}{9 \cdot y} = \dfrac{1}{9}$

The correct option is A. 1/9

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