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Answer

Work backwards:

              Egg        Cheese      Fruit     Total

End        3u           u              u-5           85

equate Total:  5u-5 =85 –> u=18

Fruit tarts at first             u-5+61=74 (also same number of egg or cheese tarts at first)

Egg tarts eaten = 74-3u=20#

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After
egg tarts : 3u
cheese tarts : 1u
fruit tarts : 1u – 5

3u + 1u + 1u – 5 = 5u – 5 ——- 85
1u ——- (85 + 5)/5 = 18 (cheese tarts left)
3u ——- 18 x 3 = 54 (egg tarts left)
1u – 5 ——- 18 – 5 = 13 ( fruit tarts left)
13 + 61 = 74 (fruit tarts at first)
74 – 54 = 20

Ans : 20 egg tarts.

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