## Algebra 1: Common Core (15th Edition)

Let the number of goats be x and the number of chickens be y. Thus we can say the total number of animals will be: $x+y=23$ Each goat has 4 legs and each chicken has 2, thus we get $4x+2y=74$ Now, we find: $(4x+2y)-2(x+y)=74-2\times23$ $4x+2y-2x-2y=28$ $2x=28$ Therefore, $x=14$ This gives: $y=9$ Therefore: Number of goats = 14 Number of chickens = 9