SOLUTION: A mom bought 28 packages of Reeses Cups with 88 total.Each king size pack holds 4 cups and each regular size holds 2 cups. How many of each size did she buy?

Algebra ->  Linear-equations -> SOLUTION: A mom bought 28 packages of Reeses Cups with 88 total.Each king size pack holds 4 cups and each regular size holds 2 cups. How many of each size did she buy?      Log On


   



Question 974544: A mom bought 28 packages of Reeses Cups with 88 total.Each king size pack holds 4 cups and each regular size holds 2 cups. How many of each size did she buy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of king size packs
Let +b+ = number of regular size packs
----------------
(1) +a+%2B+b+=+28+
(2) +4a+%2B+2b+=+88+
---------------------
(2) +2a+%2B+b+=+44+
Subtract (1) from (2)
(2) +2a+%2B+b+=+44+
(1) +-a+-+b+=+-28+
-------------------
+a+=+16+
and
(1) +16+%2B+b+=+28+
(1) +b+=+12+
There are 16 king size packs
There are 12 regular size packs
-----------------------------
check:
(2) +2a+%2B+b+=+44+
(2) +2%2A16+%2B+12+=+44+
(2) +32+%2B+12+=+44+
(2) +44+=+44+
OK