Question

The cost of a boat is x$,whichistobeequallysharedbyagroupofpeople.Intermsof$x$, how many dollars less will each person contribute if one additional person enters in an already existing group of three people?

• A. $\frac{x}{12}$
• B. $\frac{x}{4}$
• C. $\frac{x}{3}$
• D. $\frac{7x}{12}$
• E. $7x$

Answer 1

Answer: (A)

$\frac{x}{12}$

If there are $3$ people then each person will bear a cost of $\frac{x}{3}$.

Now if there are $4$ people then each person will bear a cost of $\frac{x}{4}$.

Thus the decrease in cost is equivalent to $\frac{x}{3}-\frac{x}{4}=\frac{4x-3x}{12}=\frac{x}{12}$.