Question

A person spent Rupees 564 in buying goose and duck, if each goose cost Rupees 7 and each duck Rupees 3 and if the total number of birds bought was 108 , how many of each type did he buy ​

Answer 1

let the no. of goose bought = x
then, the no. of ducks bought = 108-x
cost of 1 goose = ₹7
cost of all goose = ₹7x
cost of 1 duck = ₹3
cost of all duck = ₹3(108-x) = ₹324-3x

A/q
₹7x + ₹324-3x = ₹ 564
324+4x = 564
4x = 564-324
4x = 240
x =60

No of goose = 60
No of duck = 108-60 =48

Answer 2

the no. of ducks is 48 and the no.of goose is 60