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?

anonymous · Answer

8 packages of 12 bagels

anonymous · Answer

$$8 x 12 = 96                 $$ $$12 x 6 = 72$$ $$96 + 72 = 168$$

jkristia · Answer

one way to solve this is to have 2 variables x and y, x representing box with 6 and y box with 12
then you know that
#1; x + y = 20, total number of boxes is 20
#2; 6x + 12y = 168, total number of bagels is 168

now solve for y in #1 so we can replace y in #2
#1; y = 20 - x
#2; 6x + 12(20-x) = 168
now solving for x you get 12, so 
12 boxes of 6 bagels
and
#1 y = 20 - 12 = 8
8 boxes of 12 bagels