divya23 wrote:Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/9 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
1.36
2.60
3.108
4.144
5.180
We can plug in the answers, which represent the total number of ornaments.
Answer choice C: 108 ornaments
Handmade = (1/6)*108 + 10 = 28.
Handmade antiques = (1/2)*28 = 14.
Handmade antiques must be (1/9)*108 = 12.
Doesn't work: 14 ≠12.
Since (1/9)*108 = 12 is too small, more ornaments are needed.
Eliminate A,B,and C.
Answer choice D: 144 ornaments
Handmade = (1/6)*144 + 10 = 34.
Handmade antiques = (1/2)*34 = 17.
Handmade antiques must be (1/9)*144 = 16.
Doesn't work: 17 ≠16.
Eliminate D.
The correct answer is
E.
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
