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A satellite is composed of 30 modular units, each of which

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A satellite is composed of 30 modular units, each of which [#permalink] New post 23 Sep 2016, 14:16
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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)1/2
[Reveal] Spoiler: OA

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2 KUDOS received
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Kudos [?]: 1048 [2] , given: 6

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Re: A satellite is composed of 30 modular units, each of which [#permalink] New post 23 Sep 2016, 14:17
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GreenlightTestPrep wrote:
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)1/2


Since we're asked to find a certain FRACTION, we can plug in some nice values that meet the given conditions.

Let's say that there's a TOTAL of 5 upgraded sensors on the entire satellite

the number of non-upgraded sensors on one modular unit is 1/5 the TOTAL number of upgraded sensors on the entire satellite
So, the number of non-upgraded sensors on EACH modular unit = (1/5)(5) = 1.

Since there are 30 modular units altogether, the TOTAL number of non-upgraded sensors = (30)(1) = 30.

So, the TOTAL number of sensors = (number of non-upgrades) + (number of upgraded)
= 30 + 5
= 35

What fraction of the sensors on the satellite have been upgraded?
= 5/35
= 1/7

Answer:
[Reveal] Spoiler:
D


Cheers,
Brent
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Re: A satellite is composed of 30 modular units, each of which [#permalink] New post 03 Jul 2018, 06:27
Let, non-upgradable sensor per module (or 1 module) = x
Total no. of sensor = T
Total no. of upgraded sensors = y = T - 30x
Logic line: x = (1/5)*y So, y = 5x
or, x = (1/5)*(T - 30x)
solving, T = 35x
so, y/T = 5x/35x = 1/7
Re: A satellite is composed of 30 modular units, each of which   [#permalink] 03 Jul 2018, 06:27
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