Question

How long will it take to machine 61 pins if each pin requires 8 and three fourths ​minutes? Allow 1 minute per pin for placing stock in the lathe.

Answer 1

if each pin takes 8 3/4 minutes to process
61 pins will be 61 * 8 3/4 :)

then subtract 61 minutes, to exclude the lathe placement
`\bf \begin{cases} 8(3)/(4)\implies \cfrac{8\cdot 4+3}{4}\implies \cfrac{37}{4} \end{cases} \\ \quad \\ \left( 61\cdot\cfrac{37}{4} \right)-61`