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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!



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Re: A satellite is composed of 30 modular units, each of which [#permalink]
28 Aug 2019, 08:45
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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 A student asked me to add some graphics to my solution, so...... 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.So, here's a sketch of 30 modular units. The circles inside each unit represent sensors. The circles with black centers represent NONupgraded sensors, and the empty red circles represent upgraded sensors. For my sketch, I placed ONE NONupgraded sensor in each of the 30 modular units (since we're told that each unit contains the same number of nonupgraded sensors) The number of nonupgraded sensors on ONE UNIT is 1/5 the total number of upgraded sensors on the ENTIRE satelliteThis tells us that there aren't many upgraded sensors among the satellite's 30 modular units So, let's REDRAW the diagram to start with 1 NONupgraded sensor in each of the 30 modular units Okay, so if there's 1 NONupgraded sensor in EACH of the 30 modular units, then there is a TOTAL of 5 UPgraded sensors on the ENTIRE satellite. So, let's add 5 UPgraded sensors to our diagram to get: At this point, our diagram meets all of the conditions in the question. What fraction of the sensors on the satellite have been upgraded? We can see that we have a total of 35 sensors, and 5 of them are upgraded. So, the fraction = 5/35 = 1/7 Answer: D Cheers, Brent
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Re: A satellite is composed of 30 modular units, each of which
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