Question

A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?a) 5/6

b) 1/5
c) 1/6
d) 1/7
e) 1/24

Answer 1

`(1)/(7)`

Explanation:

The satellite has 30 modular units.

There are equal numbers of non-upgraded sensors in each unit.

Let us assume that on the entire satellite there are x numbers of upgraded sensors.

Then as per the given condition, there are
`(x)/(5)` number of non-upgraded sensors in one unit.

Therefore, the number of non-upgraded sensors on the entire satellite is
`(30x)/(5)` =6x

Hence, total number of sensors in the satellite is (x+ 6x) =7x

Therefore, the required fraction of the upgraded sensors is
`(x)/(7x) =(1)/(7)`. (Answer)