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:

$x+(x-\frac{164}{6})=\frac{345}{8}$

Solving for x we get:

$\begin{gathered} 2x=\frac{345}{8}+\frac{164}{6}=\frac{1035+656}{24}=\frac{1691}{24} \\ x=\frac{1691}{48}\approx70.46 \end{gathered}$

Therefore the length of the longer piece is 70.46in,