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 what is the greatest possible fraction of the artifacts in its collection that the museum can keep in storage?
Hi,
Assume the museum has x artifacts.
x/3 = display
2x/3 = storage
x/7 to x/5 are stolen or something like that, and to remain displayed artifacts as constant the disappearance should happen from storage only.
Assuming worst case scenario that x/5 things were stolen. => 2x/3-x/5 = 7x/3
Now total artifacts are x/3+7x/3 = 8x/3
Storage is 7x/3
So Storage fraction will be 7/8 (Ans)
Thanks & Regards,
Kapil
