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 15 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?

Respuesta :

Fraction of the sensors on the given satellite which have been upgraded is equal to  option D. 1/7.

As given in the question,

Total number of modular units = 30

Let 'n' be the total number of upgraded sensors available on the entire satellite

Number of non-upgraded sensors available on one unit = ( 1/5)n

                                                                                         = x/5

Number of non-upgraded sensors available on 30 modular unit

= 30n /5

= 6n

Total number of non- upgraded and upgraded sensors makes one unit

⇒n + 6n =  1

⇒7n = 1

Fraction of upgraded sensors are:

⇒ n = 1/7

Therefore, the fraction of the sensors available on the satellite and are upgraded is equal to option D. 1/7.

The above question is incomplete , the complete question is:

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

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