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A man spent rs 564 in buying goose and duck , if each goose cost rs 7 and each duck cost rs 3 and if the total no of birds bought was 108 , how many of

Let the no. of geese bought be x. So, the no. of ducks = 108 - x. Therefore, the equation becomes: 7x + 3 * (108 - x) = Rs 564 7x + 324 - 3x = 564 4x = 564 - 324 4x = 240 x = 60 Thus the no. of geese is 60. The no. of ducks = 108 - x. So, 108 - 60 = 48 Thus, no. of ducks is 48.

let the no of ducks he bought be x so the no of geese bought will be 108-x cost of each goose is Rs.7 total cost of geese =7(108-x) cost of each duck is Rs.3 total cost of duck is 3x ATQ, 3x+7(108-x)=564 ⇒3x+756-7x=564 ⇒756-4x=564 ⇒4x=192 ⇒x=48 So the no of ducks bought is 48 The no of geese bought is 108-48=60