In a sample of 800 high school students in which all students are eith

Question

In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?

A. 42
B. 48
C. 56
D. 208
E. 256

Show Answer

Official Answer

B

A. 42
B. 48
C. 56
D. 208
E. 256

grv805 · Answer

0.32*800- 0.26*800=48
Answer B

Sent from my XT1033 using  GMAT Club Forum mobile app

MarkusKarl · Answer

Sophomores= 26%
Juniors = 22%
Seniors = 160/800 =20%
Total: 68%
1-68%=32% (Freshmen)

0,32*800-0,26*800=256-208=48.
Answer choice B

paidlukkha · Answer

SO F J SE 
 592 176 160 800
208 256 176 160 800

22%*800=176 J
74%*800=592
592 - 160 SE - 176 J = 256F

SO = 208 
F = 256
J = 176
SE = 160

48

rhine29388 · Answer

To solve this problem one needs to understand that students can fit into any one of the four categories
Total students = 800
22% are juniors = .22 * 800 = 176
74 % are not sophomores which means that 26 % are sophomores 
26 % sophomores = .26 * 800 = 208
160 students are seniors
freshmen are 800 - 208 - 160 - 176 = 256
we are asked to find how many more freshmen than sophomores are there among the sample of students
256 - 208 = 48 students
Correct answer - B

rohit8865 · Answer

Bunuel isn't the question should ask "how many more sophomores than fisherman are there"?? please correct my understanding :roll:

Bunuel · Answer

TOTAL = 800;

Juniors = 800*0.22 = 176;
Seniors = 160;
Sophomores = 800*(1 - 0.74) = 208;
Freshmen = 800 - (176 + 160+ 208) = 256.

How many more freshmen than sophomores are there: Freshmen - Sophomores = 256 - 208 = 48.

Answer: B.

ishaan.wares · Answer

juniors = 0.22 * 800 = 176
26 % sophomores = .26 * 800 = 208
Seniors = 160
reshmen are 800 - 208 - 160 - 176 = 256
256-208=48

PolarisTestPrep · Answer

Hey guys,

This one is easier than it looks

We are given all of the percents, just in sneaky ways

We are told that 22% are Juniors

We are told that 74% are not Sophomores, meaning that 26% are Sophomores

We are told that 160 students are Seniors

\frac{160}{800} = \frac{2}{10}  = 20%

Add up the sum of the percentages we know:

20% + 26% + 22% = 68% are not Freshmen

That means that 32% are Freshmen

We are asked for the difference in number between Freshmen and Sophomore, however

Let's take the difference in percent:

32% - 26% = 6%

The difference is 6%

What is 6% of 800?

Sounds complicated and annoying right?

Here is a trick

Break the number into 10% and 1%, which is easy, you just move a decimal, and then add them up as necessary

10% of 800 = 80

1% of 800 = 8

6% = 1% * 6 = 8 * 6 = 48

There are 48 more Freshmen than Sophomores

The answer is B

You can do this on any problem that has annoying percents, it's a great time saver

Paras96 · Answer

In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?

A. 42
B. 48
C. 56
D. 208
E. 256

Show Answer

Official Answer

B

No. of juniors = 22%*800 = 176
No. of seniors = 160
No. of not sophomores = No. of seniors + juniors + freshmen = 74%*800 = 592
Therefore, no. of freshmen = No. of seniors + juniors + freshmen - No. of juniors - No. of seniors = 592 - 160 - 176 = 256
Therefore, no. of sophomore = 800 - not sophomores = 800 - 592 = 208

No. of juniors - No. of sophomores = 256 - 208 = 48
 Hence B

athena97 · Answer

I'm sure you meant freshmen and not fishermen! thanks for the laugh, it was a welcome relief after hours of prep!

bumpbot · Answer

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In a sample of 800 high school students in which all students are eith

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