SOLUTION: Sarah is making bead necklaces as treats for her party. She has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces she can make if she wants to u

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Sarah is making bead necklaces as treats for her party. She has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces she can make if she wants to u      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 810286: Sarah is making bead necklaces as treats for her party. She has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces she can make if she wants to use all of the beads?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sarah is making bead necklaces as treats for her party. She has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces she can make if she wants to use all of the beads?
--------
90 = 2*3^2*5
-----
108 = 2^2*3^3
==================
gcd = 2*3^2 = 18
--------
90/18 = 5
108/18 = 6
------------
Greatest # of necklaces with 18 green and 18 blue is 5
----------------------------------------------------------
Cheers,
Stan H.
====================