A farmer has 26 chickens and ducks (total) and sells the chickens for 2 dollars, and the ducks for 3. more in disc.

Question

A farmer has a total of 26 chickens and ducks. She sells her chickens for two dollars and sells her ducks for three dollars each, making a total of 63 dollars. How many of each type of bird does she have?

Thanks!

Answer 1

C + D = 26

2C + 3D = 63

multiply 1st equation by 2

2C + 2D = 52

subtract result from the 2nd equation

3D-2D = 63-52

D = 11 ducks

C= 26-11 = 15 chickens

2(15) + 3(11) = 30 + 33 = 63