Question
P gave out 'a' cookies to Q, R, S, and T. The cookies
received by Q and S are in a 4:7 ratio, and those received by R and T are in a 2:3 ratio. If R received 50% more cookies than Q and S received 18 fewer cookies than T, what is the value of 'a'?Solution
ATQ, Let the number of cookies received by Q and S are 4p and 7p respectively. So the number of cookies received by R = 4p × 1.50 = 6p Number of cookies received by T = 6p × 3/2 = 9p According to question: 9p – 7p = 18 2p = 18 p = 9 So the value of ‘a’ = 9 × (4 + 7 + 6 + 9) = 9 × 26 = 234
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