There are 36 males and 34 females is xyz process. The average performance score of males is 50 points and that of female is 25 points, then what will be the all the people in the process
Answers
Step-by-step explanation:
GMAT Club
FORUM
GMAT CLUB TESTS
QUESTION BANKS
DECISION TRACKER
SCHOOL DISCUSSIONS
REVIEWS
DEALS & DISCOUNTS
CHAT
T&C AND PRIVACY POLICY
GMAT Club Rules
Login
Username
Password
Register Forgot password?
Close
Search
Close
GMAT Club Forum Index Problem Solving (PS)
A total of 22 men and 26 women were at a party, and the average : Problem Solving (PS)
TAGS
Page 1 of 2
1 2
Bunuel
EXPERT'S
POST
Oct 20, 2015
00:00ABCDE
DIFFICULTY: 55% (hard) QUESTION STATS: based on 2076 sessions
72% (02:38) correct
28% (02:43) wrong
A total of 22 men and 26 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
(A) 31
(B) 31.5
(C) 32
(D) 32.5
(E) 33
Spoiler: OA
Kudos
7 kudos, 63 bookmarks
Most Helpful Expert Reply
BrentGMATPrepNow
EXPERT'S
POST
Updated on: Mar 6, 2018
Bunuel wrote:
A total of 22 men and 26 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
(A) 31
(B) 31.5
(C) 32
(D) 32.5
(E) 33
Kudos for a correct solution.
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...
There are 48 people in total.
So, 22/48 = the proportion of women
And 26/48 = the proportion of men
Let x = average age of the women
So, plugging the information into the formula, we get: (22/48)(38) + (26/48)(x) = 35
Simplify: (11/24)(38) + (13/24)(x) = 35
Multiply both sides by 24 to get: (11)(38) + 13x = (35)(24)
Simplify: 418 + 13x = 840
Rearrange: 13x = 422
Solve: x = 422/13 ≈ 32.5
Answer: D
Step-by-step explanation:
tell the answer I need the answer