To express the statement algebraically, we will break down the sentence into phrases or words we can interprete numerically:
the unknown number = w
one fourteenth = 1/14
one fourteenth of some number w:
[tex]\begin{gathered} =\frac{1}{14}\times w \\ =\text{ }\frac{w}{14} \end{gathered}[/tex]10 more: it means we will be adding 10 to the algebraic expression after
10 more than one-fourteenth of some number w will be:
[tex]=10\text{ + }\frac{w}{14}[/tex]