Answer:
12 boxes
Step-by-step explanation:
Number of Blue Beads= 24
Number of Gold Beads= 36
Number of Silver Beads= 60
Number of Purple Beads= 72
If she plans to distribute the beads evenly in jewelry boxes, the highest number of boxes she can make will be determined by the Highest Common Factor (H.C.F.) of the number of beads.
We proceed to find the H.C.F. of 24, 36,60 &72.
First, express each number as a product of its prime factors.
24=2X2X2X3= 2³ X 3
36=2X2X3X3 = 2² X 3²
60=2X2X3X5 =2²X3X5
72=2X2X2X3X3 =2³ X 3²
Next we pick the terms with the lowest powers common to all.
H.C.F=2² X 3=4X3 =12
The greatest number of boxes Eva can make is 12.
