Question

Ben sold his used snow plow and accessories for $\$352$. If he received seven times as much money for the snow plow as he did for the accessories, find how much money he received for the snow plow:
A. $\$54$
B. $\$308$
C. $\$2464$
D. $\$44$

Answer 1

Hint: First we need to assume the money received for the accessories to be $x$, so the money received for the snow plow will be $7x$ as given in the question that Ben received seven times as much money for the snow plow as he did for the accessories. Now, we equate the sum of both to the $\$352$ to get the desired answer.

Complete step-by-step answer:
We have been given that Ben sold his used snow plow and accessories for $\$352$ and he received seven times as much money for the snow plow as he did for the accessories.
We have to find the money he received for the snow plow.
Let us assume that the money received for the accessories will be $x$.
As given that he received seven times as much money for the snow plow as he did for the accessories.
So, the money received for the snow plow will be $7x$.
Now, we have also given that he sold snow plow and accessories for $\$352$.
So, we have \[x+7x=\$352\]
Now, simplifying further we get
\[\begin{align}
  & \Rightarrow 8x=\$352\\&\Rightarrow x=\dfrac{\$352}{8}\\&\Rightarrow x=\$44\\\end{align}\]
So, the money Ben received for the accessories is \[\$44\].
Also, money Ben received for the snow plow is \[7x=7\times \$44=\$308\].
Option B is the correct answer.

Note: The key point to solve this question is assuming the money received for the accessories to be $x$, Also there is no need to convert the value $\$352$ into rupees as the options are also given in the same unit. Be careful what is asked in the question and choose the right option, if we don’t pay attention to this point, we might end up choosing option d as the right answer.