Arithmetic Mean Problem Solving

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

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

mrigank_bhushan: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Mon Oct 04, 2010 6:59 pm; Location: Kolkata, West bengal, India

Arithmetic Mean Problem Solving

by mrigank_bhushan » Thu Jan 09, 2014 6:31 pm

Average Price per Dozen
April May June
$1.26 $1.20 $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?

(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18

Quote

Source: Beat The GMAT — Problem Solving | Thu Jan 09, 2014 6:31 pm

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Thu Jan 09, 2014 9:12 pm

mrigank_bhushan wrote:Average Price per Dozen
April May June
$1.26 $1.20 $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?

(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18

Let May = 3 dozen eggs.
Total revenue in May = 3(1.20) = $3.60.

Since 2/3 as many were sold in April as in May, April = 2 dozen eggs.
Total revenue in April = 2(1.26) = $2.52.

Since twice as many were sold in June as in April, June = 4 dozen eggs.
Total revenue in June = 4(1.08) = $4.32.

Total revenue for the 3-month period = 3.60 + 2.52 + 4.32 = 10.44.
Dozens sold over the 3-month period = 3+2+4 = 9.
Average revenue per dozen = (10.44)/9 = 1.16.

The correct answer is D.

Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Dec 13, 2019 1:03 pm

mrigank_bhushan wrote:Average Price per Dozen
April May June
$1.26 $1.20 $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?

(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18

We can create the equations:

A = 2M/3

3A = 2M

3A/2 = M

1.5A = M

and

J = 2A

Therefore, the average price per dozen eggs sold over the three-month period is:

(A x 1.26 + 1.5A x 1.20 + 2A x 1.08)/(A + 1.5A + 2A)

(1.26A+ 1.8A + 2.16A)/(4.5A)

5.22A/(4.5A) = 5.22/4.5 = 1.16

Alternate solution:

We can let the number of dozens of eggs sold in May be 6; thus, the number of dozens of eggs sold in April is 2/3 x 6 = 4, and the number of dozens of eggs sold in June is 2 x 4 = 8.

Therefore, the average price per dozen eggs sold over the three-month period is:

(4 x 1.26 + 6 x 1.20 + 8 x 1.08) / (4 + 6 + 8)

20.88/18 = 1.16

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]