Question

on a large scale farm there are 6 more pigs than cows,4 times as many goats as pigs and two-thirds as many sheep As goats
(a)if there r y cows write down a simplified expression in y for the total number of animals
(b)find the total number of animals given that there are 112 sheeps​

Answer 1

cows = y

pigs = y + 6

goats = 4(y+6) = 4y+ 24

sheep = 2/3 * (4y + 24) = 8/3y + 16

sol.

total

= y+y+6+4y+24+8/3y+16

=26/3y + 46

sheep = 112 = 8/3 y + 16

8/3y = 112-16

y= (112 - 16)*3/8

y = 36

then substitute y with 36 in the total equation so yeah...

36+36+6+4(36)+24+8/3(36)+16

=358 animals