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    Question

    If the number of coins in purse A and purse B is in the

    ratio 4:5, and the number of coins in purse C to purse D is in the ratio 3:4. Additionally, the number of coins in purse D is 4 less than the number of coins in purse B, and the average number of coins in all the purses together is 87, then determine the number of coins in purse A.
    A 50 Correct Answer Incorrect Answer
    B 80 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Number of coins in A = 4a Number of coins in B = 5a Number of coins in D = 5a – 4 Number of coins in C = ¾ × (5a – 4) (4a + 5a + 5a – 4 + (15a – 12)/4)/4 = 87 14a + (15a/4) = 87 ×( 4 + 7) 71a = 1420 a = 20 Number of Coins in A = 20 × 4 = 80

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