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The weights of two ships are in the ratio of 5 : 9. If together they w

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The weights of two ships are in the ratio of 5 : 9. If together they w  [#permalink]

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New post 13 Jan 2019, 11:28
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Question Stats:

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The weights of two ships are in the ratio of 5 : 9. If together they weigh 5,600 tons, how many tons does the larger ship weigh?

A. 2000

B. 2400

C. 3000

D. 3200

E. 3600

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Re: The weights of two ships are in the ratio of 5 : 9. If together they w  [#permalink]

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New post 14 Jan 2019, 10:34
SajjadAhmad wrote:
The weights of two ships are in the ratio of 5 : 9. If together they weigh 5,600 tons, how many tons does the larger ship weigh?

A. 2000

B. 2400

C. 3000

D. 3200

E. 3600


IMO E

Ratios are given which one can use to relate with the given weight
14x=5600
x=400

Largest ship will weigh 3600.
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Re: The weights of two ships are in the ratio of 5 : 9. If together they w  [#permalink]

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New post 14 Jan 2019, 10:56
SajjadAhmad wrote:
The weights of two ships are in the ratio of 5 : 9. If together they weigh 5,600 tons, how many tons does the larger ship weigh?

A. 2000

B. 2400

C. 3000

D. 3200

E. 3600


\(\frac{5600}{(9+5)}*9\)

= \(3600\), Answer must be (E) 3600
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Re: The weights of two ships are in the ratio of 5 : 9. If together they w  [#permalink]

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New post 14 Jan 2019, 18:50
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SajjadAhmad wrote:
The weights of two ships are in the ratio of 5 : 9. If together they weigh 5,600 tons, how many tons does the larger ship weigh?

A. 2000

B. 2400

C. 3000

D. 3200

E. 3600


We can let the weight of smaller ship = 5x and the weight of larger ship = 9x and create the equation:

5x + 9x = 5600

14x = 5600

x = 400

Thus, the larger ship weighs 9 * 400 = 3600 tons.

Answer: E
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Re: The weights of two ships are in the ratio of 5 : 9. If together they w   [#permalink] 14 Jan 2019, 18:50
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