Question

A cobbler charges a flat fee of $45$ dollars plus $75$ dollars per hour to make a pair of shoes. If the total bill was $\$320$, find the time (in hours) of labor spent by the cobbler in making the shoes.

• A. $3\frac{2}{15}$
• B. $3\frac{2}{3}$
• C. $4$
• D. $4\frac{4}{15}$
• E. $4\frac{1}{3}$

Answer 1

The correct option is B $3\frac{2}{3}$

Let the labour spent $x$ hours by the cobbler in making shoe.

Then according to the question,

$\Rightarrow 75x+45=320$

$\Rightarrow 75x=320-45$

$\Rightarrow 75x=275$

$\Rightarrow x=\frac{275}{75}=3\frac{50}{75}=3\frac{2}{3}$ hours