Sarah has 24 blue beads, 36 gold beads, 60 silver beads, and 72 purple beads. She is planning to decorate jewelry boxes for her friends and wants to distribute the beads evenly among the jewelry boxes. What is the greatest number of jewelry boxes that Eva can make?

Question

Sarah has 24 blue beads, 36 gold beads, 60 silver beads, and 72 purple beads. She is planning to decorate jewelry boxes for her friends and wants to distribute the beads evenly among the jewelry boxes. What is the greatest number of jewelry boxes that Eva can make?
Please help,

Reiny · Accepted Answer

What is the highest common factor of 24, 36, 60, and 72 ?
24 = 2*2*2*3
36 = 2*2*3*3
60 = 2*2*3*5
72 = 2*2*2*3*3
So the LCF is 2*2*3 = 12
( we should have been able to see that mentally given the nice numbers)

So she can make 12 boxes, each with 2 blues, 3 gold, 5 silver and 6 purple beads

ice stove · Answer

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