A restaurant manager bought 20 packages
of bagels. Some packages contained 6 bagels
each, and the rest contained 12 bagels each.
There were 168 bagels in all. How many
packages of 12 bagels did the manager buy?

Question

A restaurant manager bought 20 packages 
of bagels. Some packages contained 6 bagels 
each, and the rest contained 12 bagels each. 
There were 168 bagels in all. How many 
packages of 12 bagels did the manager buy?

ammarah · Answer

@dumbcow

zzr0ck3r · Answer

x+y = 20
6x+12y = 168

zzr0ck3r · Answer

so 
6x+12(20-x)=168 
solve for x, and that is the amount of packages with 6

wolfboy · Answer

Well first 168/12 is 14
And we need 6 more packages so scince 6 is half of 12 one package of twelve is two of six.
14-2=12=+4=16
16-2=14+4=18-2=16+4=20.
So he bought 8 packages of twelve. Someone please correct me if i messed up.

wolfboy · Answer

@zzr0ck3r  Did I or am I in the clear?

zzr0ck3r · Answer

well my way leads to 
6x+240-12x=168
-6x=-72
x=12 
so he bought 12 packages of 6, since x+y=20 implies 12+y = 20 thus y = 8
so he bought 8 packages of 12.

correct:))

wolfboy · Answer

Lol Thank you for checking

zzr0ck3r · Answer

your logic is correct, but I assume they wanted a system of equations..but maybe not.... all good:)