Question

A student takes 1/6 an hour to paint a picture frame how many pictures frame can the student paint in 4 hours A. 28 framesB.24 frame C.20 frame D. 2/3

Answer 1

A student takes 1/6 an hour to paint 1 picture frame. To find how many pictures frame can the student paint in 4 hours, we can use the next proportion:

`\frac{(1)/(6)\text{hour}}{4\text{ hours}}=\frac{1\text{ picture frame}}{x\text{ picture frames}}`

Solving for x,

`\begin{gathered} (1)/(6)\cdot x=1\cdot4 \\ x=(4)/((1)/(6)) \\ x=4\cdot6 \\ x=24 \end{gathered}`

The student can paint 24 picture frames in 4 hours