Question

5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?​

Answer 1

2 ducks and 8 goats

Explanation:

let goat be g

let duck be d

d + g = 10

ducks have 2 legs, 2d

goats have 4 legs, 4g

2d + 4g = 36

making d the subject in the first equation;

d = 10 - g

put in second equation

2(10 - g) + 4g = 36

20 -2g + 4g = 36

2g = 36 - 20

2g = 16

g = 8

if g is 8

d = 10 - 8

d = 2