The answer is [tex] \frac{3}{5}(x-5) \leq 27 [/tex]
Let's build the expression piece by piece, translating sentences into formulas:
"3/5 times..." [tex] \to \frac{3}{5} \times \ldots [/tex]
"5 less than a number..." [tex] \to x-5 \ldots [/tex]
So, the first block becomes
"3/5 times 5 less than a number..." [tex] \to \frac{3}{5}(x-5) \ldots [/tex]
"...is no more than 27" [tex] \ldots \leq 27 [/tex]
So, putting the pieces together, you have the answer