Problema Solution
Mrs. Berrill wants to organize her Christmas Decorations. She found red and green containers which hold 144,12, or 1 item. If she has 395 ornaments of assorted sizes, how many boxes of each size container should she buy?
Answer provided by our tutors
let
x = the number of containers that hold 144 items
y = the number of containers that hold 12 items
z = the number of containers that hold 1 item
144x + 12y + z = 395
for x = 2 we have
144*2 + 12y + z = 395
12y + z = 395 - 288
12y + z = 107
for y = 2 we have
12*8 + z = 107
z = 107 - 96
z = 11
144*2 + 12*8 + 11*1 = 395
to fit all the ornaments, one solution is to buy: 2 containers that hold 144 ornaments, 8 containers that hold 12 ornaments and 11 containers that hold 1 ornament.