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Answer:

  1. 198
  2. $1.20

Step-by-step explanation:

1. Let x represent the number of apples left. Then the number of mangosteens left is 1/6x. The starting number in each case is the number left plus the number sold. The starting numbers are equal, so we have ...

  x + 201 = (1/6)x +366

  5/6x = 165 . . . . . . . . . . subtract 1/6x+201

  x = 198 . . . . . . . . multiply by 6/5

198 apples were left.

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2. Let d represent the cost of a drink. The cost of a drink is 3/5 the cost of a snack, so the cost of a snack is 5/3 the cost of a drink. Then Alice's total expenditure was ...

  15d +12(5/3d) = 42

  35d = 42 . . . . . . . . . . . . . . collect terms

  d = 42/35 = 6/5 = 1.20 . . . divide by 35

The cost of a drink was $1.20.

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