Before the regime change, the National Museum regularly

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Before the regime change, the National Museum regularly displayed only one-third of the artifacts in its collection; the other two-thirds were kept in storage. The National Museum's curator estimates that one-seventh to one-fifth of the artifacts in the museum's collection disappeared during the regime change. If the National Museum now wishes to display the same number of artifacts as it did before the regime change, and if none of the missing artifacts are recovered, then the museum will keep in storage:

1) 4/5 to 6/7 of artifacts in the collection

2) 9/14 to 13/20

3) 3/5 to 5/7

4) 7/12 to 11/18

5) 7/18 to 5/12

[spoiler]OA=D[/spoiler]

Source: Princeton Review

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by Scott@TargetTestPrep » Fri Apr 19, 2019 9:12 am
VJesus12 wrote:Before the regime change, the National Museum regularly displayed only one-third of the artifacts in its collection; the other two-thirds were kept in storage. The National Museum's curator estimates that one-seventh to one-fifth of the artifacts in the museum's collection disappeared during the regime change. If the National Museum now wishes to display the same number of artifacts as it did before the regime change, and if none of the missing artifacts are recovered, then the museum will keep in storage:

1) 4/5 to 6/7 of artifacts in the collection

2) 9/14 to 13/20

3) 3/5 to 5/7

4) 7/12 to 11/18

5) 7/18 to 5/12

[spoiler]OA=D[/spoiler]

Source: Princeton Review
We can let the original number of artifacts = 420.

Thus, 140 were displayed and 280 were not.

We also see that between 1/7 x 420 = 60 and 1/5 x 420 = 84 disappeared during the regime change.

So there is now a total between 336 and 360 left.

If 140 artifacts are to be displayed, just like before the regime change, the number in storage will be between 336 - 140 = 196 and 360 - 140 = 220.

Thus, 196/336 = 7/12 to 220/360 = 11/18 will remain in storage.

Answer: D/4

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