SOLUTION: Jason is filling grab bags for the school festival. Two hundred
bags are lined up on a long table. He has already placed crackers and
other food items in each bag and now has a l
Algebra.Com
Question 136664: Jason is filling grab bags for the school festival. Two hundred
bags are lined up on a long table. He has already placed crackers and
other food items in each bag and now has a limited amount of prizes to
add to some of the bags. If he places prize A in every 8th bag, prize B in
every 12th bag, and prize C in every 15th bag, which bag will have all
three prizes?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jason is filling grab bags for the school festival. Two hundred
bags are lined up on a long table. He has already placed crackers and
other food items in each bag and now has a limited amount of prizes to
add to some of the bags. If he places prize A in every 8th bag, prize B in
every 12th bag, and prize C in every 15th bag, which bag will have all
three prizes?
----------------
You need the bag number that is divisible by 8,12,and 15.
That is the "least common multiple".
Write
8 = 2^3
12 = 2^2*3
15 = 3*5
-------------
The lcm must have each of the prime power numbers raised to its highest power.
lcm = 2^3*3^1*5^1
lcm = 8*15 = 120
----------------------
The 120th bag will have all three prizes because it is an 8th bag,
a 12th bag and a 15th bag.
================================
cheers,
Stan H.
RELATED QUESTIONS
a trailer has a mass of 260kg. bags of cement are placed on the trailer. each bag has a... (answered by josgarithmetic)
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery... (answered by stanbon)
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery... (answered by stanbon)
Deshawn and Shayna are selling flower bulbs for a school fundraiser. Customers can buy... (answered by mananth)
Shanice and Jaidee are selling flower bulbs for a school fundraiser. Customers can buy... (answered by josmiceli)
I need help please, here is the problem:
The costs $C of making a school bag is partly (answered by Solver92311,Theo,ikleyn)
A contractor mixes concrete from bags of pre-mix for small jobs. How many bags of 3%... (answered by scott8148)
A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 11%... (answered by scott8148)
Jason has two bags of letters. One of the bags contains each of the six letters in the... (answered by Edwin McCravy)