Kater has 24 T-shirts. Kater has 8 fewer pairs of shoes than pairs of pants. If the number of T-shirts Kater has is double the number of pants he has, then how many pairs of shoes does he have?

T=number of shirt

p=pants

s=shoes

t=24

8 fewer shoes than pants means s=p-8

t shirts are double pants, means t=2p

so

t=24

s=p-8

t=2p

solve

we can see

24=t=2p

24=2p

divide both sides by 2

12=p

sub into other equation

s=p-8

s=12-8

s=4

4 pairs of shoes