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A satellite is composed of 30 modular units, each of which [#permalink]
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 nonupgraded sensors. If the number of nonupgraded 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
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Re: A satellite is composed of 30 modular units, each of which [#permalink]
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 nonupgraded sensors. If the number of nonupgraded 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 nonupgraded sensors on one modular unit is 1/5 the TOTAL number of upgraded sensors on the entire satelliteSo, the number of nonupgraded sensors on EACH modular unit = (1/5)( 5) = 1. Since there are 30 modular units altogether, the TOTAL number of nonupgraded sensors = (30)( 1) = 30. So, the TOTAL number of sensors = (number of nonupgrades) + (number of upgraded) = 30 + 5 = 35What fraction of the sensors on the satellite have been upgraded?= 5/ 35= 1/7 Answer: D Cheers, Brent
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Re: A satellite is composed of 30 modular units, each of which [#permalink]
03 Jul 2018, 06:27
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Let, nonupgradable 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



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Re: A satellite is composed of 30 modular units, each of which [#permalink]
11 Jul 2019, 06:42
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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 nonupgraded sensors. If the number of nonupgraded 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 Let's say that there's a TOTAL of x upgraded sensors on the entire satellite the number of nonupgraded sensors on one modular unit is 1/5 the TOTAL number of upgraded sensors on the entire satelliteSo, the number of nonupgraded sensors on EACH modular unit = (1/5)( x) = x/5. Since there are 30 modular units altogether, the TOTAL number of nonupgraded sensors = (30)( x/5) = 30x/5 = 6x. So, the TOTAL number of sensors = (number of nonupgrades) + (number of upgraded) = 6x + x = 7xWhat fraction of the sensors on the satellite have been upgraded?= x/ 7x= 1/7 Answer: D Cheers, Brent
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Re: A satellite is composed of 30 modular units, each of which [#permalink]
06 Aug 2019, 23:05
Let no. of nonupgraded sensors per module be x Total nonupgraded sensors = 30x (since each module has same no. of nonupgraded sensors)
Let total upgraded sensors be T From given condition: x=1/5*T or, T= 5x
Now, Total no. of sensors = upgraded + nonupgraded
Total no. of sensors = 5x+30x = 35x
so fraction of upgraded = 5x/35x = 1/7
So, answer is D



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Re: A satellite is composed of 30 modular units, each of which [#permalink]
07 Aug 2019, 00:24
Wow, this is the topic! How much I know, but this is the first time I've ever met! Wow!




Re: A satellite is composed of 30 modular units, each of which
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07 Aug 2019, 00:24





