Each pack of hot dogs contains 10 hot dogs (no buns), but each pack of hot dog buns contains 8 buns. Phil buys a number of these packs for a barbecue. After the barbecue, Phil finds that he has 4 hot dogs left over. What is the SECOND smallest number of packs of hot dogs he could have bought?

Respuesta :

hmmm

we might need to find greatest common denomenator?
or we could just do trial and error

hmm

wait a minute

lets do this
d=number of hot dog packs
b=number of hot dog bbuns

the number of hot dogs is 4 more than the number of buns
10d=4+8b
divide both sides by 2 to make it easier
5d=2+4b

one way is to do trial and error

try values of d and find what values work for b (remember, all whole values)
if d=1, no value works for b
if d=2, b=2
that is the smallest value
keep going up
if d=3, no value works for b
if d=4, no value works for b
if d=5, no value works for b
if d=6, b=7


so 6 packs is the answer