Question

Franklin has a stick which is 345/8 inches long. He wishes to cut it into twopieces so that one piece is 164/6 inches longer than the other. What will be thelength of the longer piece? (Estimate the solution to the nearest hundredths),

Answer 1

Let x be the length of the longest piece in inches, then we can set the following equation:

`x+(x-(164)/(6))=(345)/(8)`

Solving for x we get:

`\begin{gathered} 2x=(345)/(8)+(164)/(6)=(1035+656)/(24)=(1691)/(24) \\ x=(1691)/(48)\approx70.46 \end{gathered}`

Therefore the length of the longer piece is 70.46in,