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Oksanka [162]
2 years ago
5

4. A number of whales were asked about things that they dislike

Mathematics
1 answer:
Klio2033 [76]2 years ago
7 0

Answer:

  A.  38

  B.  33

  C.  13

  D.  23

Step-by-step explanation:

The attached table shows my take on the interpretation of the given numbers. You will note that -2 appears in the combination (dislikes Squids; doesn't dislike Ahab or Pollution).

If we take the letters in the order APS for Ahab, Pollution, Squids, and use D for Dislike and L for Like (doesn't dislike), then the statements get interpreted here as follows:

  19 dislike giant squids: DDD +DLD +LLD +LDD = 19

  6 dislike S and P and A: DDD = 6

  24 dislike A: DDD +DLD +DDL +DLL = 24

  1 dislike P but not S or A: LDL = 1

  11 dislike A and S: DDD +DLD = 11

  3 dislike P and A but not S: DDL = 3

  20 dislike pollution: DDD +LDD +DDL +LDL = 20

  5 have no dislikes: LLL = 5

Starting with the single-cell numbers DDD, LDL, DDL, LLL, you can next fill in the cell value that gives the double cell sum, then the values for quadruple-cell sums (19 will be last).

__

A. The total number of whales surveyed is the total of all the numbers in the cells: 38.

__

B. The number that dislike at least 1 is the complement of the number that dislike none, so is 38-5 = 33.

__

C. This is DDL +DLL = 3+10 = 13.

__

D. This is the number that dislike squids (19) plus the number that dislike pollution (1 + 3), for a total of 23.

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