Question

15
Apesso in spen &564 in buying gease
and ducks, if each goose costar and each
duck & 3 and if the total number of birds
bought was lo8 how many of each type did
hebyy?​

Answer 1

Step-by-step explanation:

In questions of this kind, it is essential to have all quantities expressed in the same denomination; in the present instance, it will be convenient to express the money in rupees.

Let x be the number of geese. Then 108 -x is the number of ducks.

Since each goose costs 7 rupees, x geese cost 7x rupees.

And since each duck costs 3 rupees, 108 -x ducks cost 3(108 -x) rupees.

Therefore, the amount spent is 7x + 3(108 -x) rupees; but the question states that the amount is Rs 564. Hence,

7x+3(108−x)=564

or 7x+324−3x=564

or 4x=240

Therefore, the number of geese, x=60, and the number of ducks, 108−x=48.

hope it helps