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.
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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