Question

When her sons 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

The correct option is C $108$

Given

Total number of one-year magazine subscriptions $=$ $7$

Magazine Subscriptions are of ${}^{\prime }thre{e}^{\prime }$ different types,

$(Type-I)$

$12$ issues of magazine per year

Number of such one-year subscriptions bought by Nelson $=$ $4$

Number of magazines received by her office of this type in an year $=$ $4$ $\times$ $12$

$=$ $48$

$(Type-II)$

$4$ issues of magazine per year

Number of such one-year subscriptions bought by Nelson $=$ $2$

Number of magazines received by her office of this type in an year $=$ $2$ $\times$ $4$

$=$ $8$

$(Type-III)$

$52$ issues of magazine per year

Number of such one-year subscriptions bought by Nelson $=$ $1$

Number of magazines received by her office of this type in an year $=$ $2$ $\times$ $52$

$=$ $52$

Total Number of magazines received by her office in an year $=$ Number of magazines of $(Type.I$ $+$ $Type.II$ $+$ $Type.III)$ received by her office in an year

$=$ $48$ $+$ $8$ $+$ $52$

$=$ $108$

Total Number of magazines received by her office in an year is ${}^{\prime }{108}^{\prime }$.