so, let's just call x the number of beads that are needed to make a bracelet. 
now, how many beads does it take to make a necklace? 
"It takes 5 times as many beads to make a necklace than it does to make a bracelet. ' 
What does it mean? five times: 5x
so it takes 5x to make a necklace
she also used 192 to make a necklace and a bracelet. 
that means: x (bracelet) +5x(necklace)=192
x+5x=192
6x=192
now we divide by 6:
x=32
so it takes 32 beads to make a bracelet and 5 times as many, 5*32=160 to make a necklace