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Very difficult algebra word problems
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28 Aug 2018, 08:34
Hello Folks, I am stuck figuring out what the solutions are for these questions. Can someone please help me out with them? I would be very grateful! 1) The Acme Industrial Technical College has fallen on hard times. Last year its enrolment dropped by 20% and this year enrolment dropped another 15% from last year's. Next year the college expects to have 50% of this year's enrolment. What percentage of enrolment can be expected to drop for all 3 years? 2) Fifty whitetailed deer in a region are captured an eartagged, then released. Six months later, 50 more deer are captured, 35 of which are eartagged. Assuming the second group is representative of the deer population as a whole, what is the total population size ( rounded to the nearest integer)?



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Re: Very difficult algebra word problems
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28 Aug 2018, 10:43
RomeoPenheiro wrote: Hello Folks, I am stuck figuring out what the solutions are for these questions. Can someone please help me out with them? I would be very grateful! 1) The Acme Industrial Technical College has fallen on hard times. Last year its enrolment dropped by 20% and this year enrolment dropped another 15% from last year's. Next year the college expects to have 50% of this year's enrolment. What percentage of enrolment can be expected to drop for all 3 years? 2) Fifty whitetailed deer in a region are captured an eartagged, then released. Six months later, 50 more deer are captured, 35 of which are eartagged. Assuming the second group is representative of the deer population as a whole, what is the total population size ( rounded to the nearest integer)? 1. Year I  Enrollment be 100 Year 2 (Last Year)  Enrollment is 80 Year 3 (This year)  Enrollment is 68 Year 4  (Next Year)  Enrollment is 34 So, Percentage drop in enrollment is 66%
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Re: Very difficult algebra word problems
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28 Aug 2018, 10:51
RomeoPenheiro wrote: Hello Folks, I am stuck figuring out what the solutions are for these questions. Can someone please help me out with them? I would be very grateful! 1) The Acme Industrial Technical College has fallen on hard times. Last year its enrolment dropped by 20% and this year enrolment dropped another 15% from last year's. Next year the college expects to have 50% of this year's enrolment. What percentage of enrolment can be expected to drop for all 3 years? 2) Fifty whitetailed deer in a region are captured an eartagged, then released. Six months later, 50 more deer are captured, 35 of which are eartagged. Assuming the second group is representative of the deer population as a whole, what is the total population size ( rounded to the nearest integer)? Hello RomeoPenheiroThese obviously are not GMAT official questions, the source is questionable and wording is funny. I assume that I understood first question correctly, then it would be : 0.8 * 0.85* 0.5= 0.34 So the drop from first year to last is 66%, or 66% for 3 years. Second one is probably just proportion if 50:35 is representative as population as a whole then : 50:35= x:65 35x= 3250 X=3250/35=92.8 ~ 93
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Re: Very difficult algebra word problems
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28 Aug 2018, 18:24
billionaire Thanks for the solutions. I got the questions from used GMAT prep materials that I bought. For question 2, how did you get the equation 50:35= x:65? I don't understand how the 65 came to be!



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Re: Very difficult algebra word problems
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28 Aug 2018, 21:35
RomeoPenheiro wrote: billionaire Thanks for the solutions. I got the questions from used GMAT prep materials that I bought. For question 2, how did you get the equation 50:35= x:65? I don't understand how the 65 came to be! Its is the 50 caught deer + the 15 deer which were caught and tagged earlier but are missing now.
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Re: Very difficult algebra word problems
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28 Aug 2018, 22:30
But why are we considering the 15 deers that were caught earlier but are now missing?



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Re: Very difficult algebra word problems
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29 Aug 2018, 17:49
RomeoPenheiro wrote: billionaire Thanks for the solutions. I got the questions from used GMAT prep materials that I bought. For question 2, how did you get the equation 50:35= x:65? I don't understand how the 65 came to be! Hello again RomeoPenheiroWhat is the name of prep company that published that book, or source ? Do you have correct answers and explanations/solutions there ? What kind of prep company would not provide explanations to their questions ? How 65 showed up ? Based on provided in question, we know there must be at least 65 whitetailed deer in existence, 50 of them eartagged and 15 not, so 50+15=65 If second group is representative of deer population as whole that means that proportion of 50:35 is equal to x:65, where x is real total population of deer and 65 is so far known population, that we have proof of.
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Re: Very difficult algebra word problems
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04 Sep 2018, 11:20
2) Fifty whitetailed deer in a region are captured an eartagged, then released. Six months later, 50 more deer are captured, 35 of which are eartagged. Assuming the second group is representative of the deer population as a whole, what is the total population size (rounded to the nearest integer)?
65



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Re: Very difficult algebra word problems
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04 Sep 2018, 20:23




Re: Very difficult algebra word problems
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