Answer:
[tex]\dfrac{1}{7}[/tex]
is the fraction of sensors upgraded per unit.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of upgraded sensors in one unit and y be the number of non-upgraded sensors in one unit.
Number of modular units = 30
Since some part of unit is upgraded and some are non-upgraded, then, we can write the equation:
[tex]x + y = 1[/tex]
Number of non-upgraded sensors =
[tex]\dfrac{1}{5}\times \text{Total number of upgraded sensors on the entire satellite}[/tex]
Thus, we can write the equation:
[tex]y = \dfrac{30x}{5}\\\\y = 6x\\1-x = 6x\\\\x = \dfrac{1}{7}[/tex]
Fraction of sensors upgraded per unit =
[tex]\dfrac{1}{7}[/tex]