To determine what percentage of their initial weight roasted coffee beans retain, we start with the given fraction [tex]\(\frac{3}{5}\)[/tex].
1. First, we need to understand that the fraction [tex]\(\frac{3}{5}\)[/tex] represents the proportion of weight that is retained.
2. To convert this fraction to a percentage, we multiply it by 100 because percentages are a way to express a number as a part of 100.
[tex]\[
\frac{3}{5} \times 100
\][/tex]
3. Performing this multiplication:
[tex]\[
\frac{3}{5} \times 100 = 60
\][/tex]
So, the roasted coffee beans retain [tex]\(60\%\)[/tex] of their initial weight.
Thus, the closest option to our calculation is [tex]\(60\%\)[/tex]. The correct answer is:
[tex]\[60\%\][/tex]