Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
24 May 2013, 14:44

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

61% (02:35) correct
39% (01:49) wrong based on 123 sessions

During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

Re: During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
24 May 2013, 14:50

Expert's post

pikachu wrote:

During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

Re: During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
25 May 2013, 02:34

Bunuel wrote:

pikachu wrote:

During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

Re: During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
25 May 2013, 02:37

Expert's post

nikhilsehgal wrote:

Bunuel wrote:

pikachu wrote:

During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

Re: During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
23 May 2014, 01:45

Hi,

I am getting a different answer. My approach: 1. First Part - 80 smelts - 50% eaten = 40 ....... Statement 1 2. 2nd Part - x smelts - 30% eaten = 0.3x ....... Statement 2

Total Smelts = 1st part + 2nd part = 80+x Seal ate 40% of total smelts => 0.4 (80+x) ....... Statement 3

Therefore , combining Statement 1,2,3 40 + 0.3x = 0.4(80+x) . This is giving x = 80 and 32 as the answer.

Re: During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
23 May 2014, 02:04

Expert's post

mayankgc wrote:

During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

A. 32 B. 40 B. 55 D. 64 E. 80

Hi,

I am getting a different answer. My approach: 1. First Part - 80 smelts - 50% eaten = 40 ....... Statement 1 2. 2nd Part - x smelts - 30% eaten = 0.3x ....... Statement 2

Total Smelts = 1st part + 2nd part = 80+x Seal ate 40% of total smelts => 0.4 (80+x) ....... Statement 3

Therefore , combining Statement 1,2,3 40 + 0.3x = 0.4(80+x) . This is giving x = 80 and 32 as the answer.

Kindly assist where I have gone wrong. Thanks

We are told that the seal ate 30% of the remaining smelt it came across. Thus x in your solution must be the number of the remaining smelt. Which makes the total number of smelt equal to 80 + x = 160. 40% of 160 is 64.

Re: During a certain week, a seal ate 50% of the first 80 smelt [#permalink]
25 May 2014, 22:25

Expert's post

pikachu wrote:

During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

A. 32 B. 40 B. 55 D. 64 E. 80

Responding to a pm:

The seal ate 50% of first portion and 30% of second portion. Overall (average), it ate 40% of the entire portion.

Using scale method, Second portion/First portion = (50 - 40)/(40 - 30) = 1/1

So both portions need to be equal i.e. of 80 smelts each. So both portions together had 160 smelts and the seal ate 40% of it i.e. (40/100)*160 = 64 smelts _________________