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10 December, 22:17

A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 187, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?

A. 22B. 33C. 55D. 77E. 88

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  1. 10 December, 22:21
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    B. 33

    Step-by-step explanation:

    Let the number of Fuji trees be F, the number of gala be G and the total number of trees be x.

    10% cross pollinated, this means 1/10 cross pollinated or 0.1x

    Number of Fuji plus cross pollinated is 187.

    And cross pollinated is 3/4 of total or let's say 0.75 of total which is 0.75x

    Now, adding 0.1x + 0.75x would equal 187

    0.85x = 187

    x = 187/0.85 = 220 trees

    The total number of trees is 220.

    The number of gala trees is thus 220 - 187 = 33 trees
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