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
ornaments problem
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Let there are N ornaments in her collection.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
Then handmade ornaments = N/6 + 10
Antiques = (N/6 + 10)/2 = N/9 implies N = 180
The correct answer is 5.
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Let there be N ornaments
handmade = n/6 + 10
antiques = 1/2(n/6+10)
handmade antiques = i cud not get dis thing here can u plz xpain
it shd b n/9
then as per formaula it shd b h + a - ha = total
n/6 +10 + 1/2(n/6+10) - n/9 = n
m not geting this as 180
instead as 108 plz help
handmade = n/6 + 10
antiques = 1/2(n/6+10)
handmade antiques = i cud not get dis thing here can u plz xpain
it shd b n/9
then as per formaula it shd b h + a - ha = total
n/6 +10 + 1/2(n/6+10) - n/9 = n
m not geting this as 180
instead as 108 plz help
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It is mentioned that "1/9 of the ornaments in her collection are handmade antiques", which means if there are N ornaments in her collection, then (1/9) of N = N/9 are antiques, also we have found that (N/6 + 10)/2 are antiques.divya23 wrote:Let there be N ornaments
handmade = n/6 + 10
antiques = 1/2(n/6+10)
handmade antiques = i cud not get dis thing here can u plz xpain
it shd b n/9
then as per formaula it shd b h + a - ha = total
n/6 +10 + 1/2(n/6+10) - n/9 = n
m not geting this as 180
instead as 108 plz help
So we equate these 2 different expressions to get the value of N.
Hence, (N/6 + 10)/2 = N/9
N/12 + 5 = N/9
5 = N/9 - N/12 (LCM of 9 and 12 = 36)
5 = (4N - 3N)/36
5 = N/36
So, N = 5 * 36 = 180
Hope that helps.
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We can plug in the answers, which represent the total number of ornaments.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
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.
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hello mitchGMATGuruNY wrote:We can plug in the answers, which represent the total number of ornaments.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
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.
i did the same thing as u. but started from the 1st number. as a result it took me a bit more time. is it always time saving to start from the OP C for this type of problem??
regards nafi
thanks in advance
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Bad wording !! such a easy problem for instance
first it is handmade , and then it says handmade ornaments of antique and then handmade antiques, effectively there are three types of ornaments!!
first it is handmade , and then it says handmade ornaments of antique and then handmade antiques, effectively there are three types of ornaments!!
KILL !! DIE !! or BEAT my FEAR !!! de@D END!!