Question

Given, $k=3wx$, $m=(w-1)k$
If $k$ and $m$ are defined by the equations above, what is the value of $m$ when $w=4$ and $x=1$?

• A. 0
• B. 3
• C. 12
• D. 24
• E. 36

Answer 1

Answer: (E)

36

Given

$k$ $=$ $3wx$ and $m$ $=$ $(w$ $-$ $1)$$k$

To find the value of ${}^{\prime }{m}^{\prime }$ when $w$ $=$ $4$ and $x$ $=$ $1$;

$\Rightarrow k$ $=$ $3wx$

$\Rightarrow k$ $=$ $3$ $\times$ $w$ $\times$ $x$

$\Rightarrow k$ $=$ $3$ $\times$ $4$ $\times$ $1$

$\Rightarrow k$ $=$ $12$

$\Rightarrow m$ $=$ $(w$ $-$ $1)$$k$

$\Rightarrow m$ $=$ $(w$ $-$ $1)$ $\times$ $k$

Substituting the values of ${}^{\prime }{w}^{\prime }$ and ${}^{\prime }{k}^{\prime }$ from given and above, we get

$m$ $=$ $(4$ $-$ $1)$ $\times$ $12$

$\Rightarrow m$ $=$ $3$ $\times$ $12$

$\Rightarrow m$ $=$ $36$

Therefore, the value of ${}^{\prime }{m}^{\prime }$ is ${}^{\prime }{36}^{\prime }$.