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At a certain garment shop, the ratio of the number of shirts to the nu

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At a certain garment shop, the ratio of the number of shirts to the nu  [#permalink]

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New post 25 Sep 2018, 05:05
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A
B
C
D
E

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Question Stats:

96% (02:06) correct 4% (02:33) wrong based on 27 sessions

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At a certain garment shop, the ratio of the number of shirts to the number of trousers is 4 to 5, and the ratio of the number of jackets to the number of shirts is 3 to 8. If the ratio of the number of sweaters to the number of trousers is 6 to 5, what is the ratio of the number of jackets to the number of sweaters?

(A) 9 to 25
(B) 1 to 3
(C) 1 to 4
(D) 3 to 5
(E) 6 to 5

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Re: At a certain garment shop, the ratio of the number of shirts to the nu  [#permalink]

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New post 28 Sep 2018, 15:33
Let s be for shirts
T be for trousers
J be for jackets
Sw for sweaters.

S:T:J:Sw
4:5
8: :3
:5: : 6

Now we need to unify the numbers
So first row multiply by 2

It becomes 8:10. Then we multiply final row by 2 to unify it again, we have 10:12

So we are asked jackets:sweaters
3:12 = 1:4

Answer choice C.

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Re: At a certain garment shop, the ratio of the number of shirts to the nu  [#permalink]

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New post 29 Sep 2018, 05:56

Solution



Given:
    • Shirts: Trousers = 4: 5
    • Jackets: Shirts = 3: 8
    • Sweaters: Trousers = 6: 5

To find:
    • Jackets: Sweaters = ?

Approach and Working:
As Shirts: Trousers is 4: 5 and Sweaters: Trousers is 6: 5, we can combine them and say that
    • Shirts: Sweaters = 4: 6 = 8: 12

We also know Jackets: Shirts = 3: 8.

Again, by combining, we can write,
    • Jackets: Sweaters = 3: 12 = 1: 4

Hence, the correct answer is option C.

Answer: C

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Re: At a certain garment shop, the ratio of the number of shirts to the nu &nbs [#permalink] 29 Sep 2018, 05:56
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