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All Werfs are Injas. One-third of all Injas are Werfs. Half of all Rivads are Injas. One Rivad is a Werf. Eight Rivads are Injas. The number of Injas is 90. How many Injas are neither Werfs nor Rivads?please show work on how you got your answer ​

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9514 1404 393

Answer:

53

Explanation:

1/3 of the 90 Injas are Werfs, so there are 30 Werfs. Of the remaining 60 Injas that are not Werfs, 8-1 = 7 are Rivads. So, the number of Injas not Werfs or Rivads is 60 -7 = 53.

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Elaboration on 7

Of the 8 Rivads that are Injas, one of them is a Werf, so was already counted when we counted 30 Werfs. The other 7 are Injas that are Rivads, but not Werfs.

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