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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?

User John Weisz
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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.

User CoreSOLO
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