Question

An artist was able to draw 1/8 of a picture every hour. If he needed to paint 6 pictures for an art show, how many hours would it take him?

Answer 1

The ratio number of pictures to hours is given by

$\text{ratio}=\frac{1}{8}\frac{\text{ pictures}}{\text{hours}}$

then, we can write

$y=\frac{1}{8}t$

where t is the time in hours and y is the number of pictures. Now, we know he painted y=6 pictures. then, by substituting this values into our equation, we have

$6=\frac{1}{8}t$

By multiplying both sides by 8, we get

$\begin{gathered} 6\times8=t \\ \text{then} \\ t=48\text{ hours} \end{gathered}$

Then, the answer is 48 hours.