BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Help with Fraction Problem...

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Mon Sep 15, 2008 2:08 am
by onesixeight » Sun Jan 25, 2009 11:32 am
I'm not sure where I got this problem from, but I have difficulty with these type of fraction problems.

A student took 12 tests. The student's average (arithmetic mean) on the first 4 tests was 6/7 of the student's average on the final 8 tests. What fraction of the total number of points that the student scored on all 12 tests was the total number of points that the student scored on the first 4 tests?

a. 3/20

b. 1/4

c. 3/10

d. 1/3

e. 3/8

Any tips on how to best approach & solve these type of problems?

I tried to set it up as follows:

(sum for first 4 test scores) + (sum of remaining 8 test scores) / 12 = avg of all 12 test scores.

= 6/7x + x / 12 = average of all 12 test scores.

I tried to use a substitution of x=70, but I got 60/130 = 6/13.

Maybe I'm misunderstanding the question stem... :(

Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Sun Jan 25, 2009 1:17 pm
X= Sum of all the scores on the 12 tests
Y= Sum of all the scores on the 4 tests

Y/4=6/7*(X-Y)/(8)
56Y=24X-24Y
80Y=24X
10Y/3=X

(Y)/(10Y/3)=3/10 C
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Mon Sep 15, 2008 2:08 am

by onesixeight » Sun Jan 25, 2009 3:55 pm
I'm almost embarrassed to ask, but how did you get this part:

Y/4=6/7*(X-Y)/(8)

56Y=24X-24Y

Could you explain how 8 got cross multiplied with 7, and 6 and 4 on the other side.

Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Wed Dec 17, 2008 1:18 am

by shawoody » Sun Jan 25, 2009 4:57 pm
Yeah, I'd like to know too.....
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Sun Jan 25, 2009 5:00 pm
6/7 times (X-Y)/8=6(X-Y)/56

Y/4=6(X-Y)/56

Cross multiply

56Y=24X-24Y
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Thu Sep 11, 2008 7:16 pm
Thanked: 1 times

by dipla » Mon Jan 26, 2009 3:05 pm
Here is more plausible explanation

Assume first four tests the average is 6
Then last 8 test average is 7 (because first is 6/7 of last 8)

So total 12 tests sum = 8*7 + 6*4 =80
Sum of first 4 tests=4*6 = 24

Ration 24/80=3/10

-Cheers
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Mon Sep 15, 2008 2:08 am

by onesixeight » Mon Jan 26, 2009 9:16 pm
dipla...

Excellent...Thank you very much!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1