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}=(1)/(8)\frac{\text{ pictures}}{\text{hours}}`

then, we can write

`y=(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=(1)/(8)t`

By multiplying both sides by 8, we get

`\begin{gathered} 6*8=t \\ \text{then} \\ t=48\text{ hours} \end{gathered}`

Then, the answer is 48 hours.