Question

When her son's class held its magazine drive, Dr. Nelson bought $7$ one-year magazine subscriptions for the waiting room in her office. She bought $4$ subscriptions that have $12$ issues per year, $2$ subscriptions that have $4$ issues per year and $1$ subscription that has $52$ issues per year. Altogether, how many magazines will her office receive from these subscriptions?
(A) $106$
(B) $107$
(C) $108$
(D) $109$

Answer 1

Hint : Read the given word statement twice and try to break it down in parts and understand the similarity and the difference among the types given in magazines and then simplify it and then add for the required solution.

Complete Step By Step Answer:
Given that:
Total number of one year magazine subscriptions is $= 9$
Given that magazine subscriptions are of “three” different types.
Type – I
Issues of magazine per year $= 12$
Number of one-year subscriptions bought by Nelson $= 4$
Therefore, the number of magazines received in the year is $= 4 \times 12 = 48$ …. (A)
Similarly,
Type – II
Issues of magazine per year $= 4$
Number of one-year subscriptions bought by Nelson $= 2$
Therefore, the number of magazines received in the year is $= 2 \times 4 = 8$ …. (B)
Similarly,
Type - III
Issues of magazine per year $= 52$
Number of one-year subscriptions bought by Nelson $= 1$
Therefore, the number of magazines received in the year is $= 1 \times 52 = 52$ …. (C)
From the given multiple choices, the option C is the correct answer.
Therefore, the total number of magazines received in the year is equal to the sum of all the magazines of type I, II and III
By using equations (A), (B) and (C)
$= 48 + 8 + 52 \\\ = 108 \\\$
Hence, the total number of magazines received in the year are $108$

Note :
Interpretation of the given data, analyze it before starting the solutions. Always remember to convert the proper word statement in the form of mathematics. Be good in understanding the word statements.