Question

Molly uses 192 beads to make a bracelet and a necklace. It takes 5 times as many beads to make a necklace than it does to make a bracelet. How many beads are used to make the necklace?

Answer 1

So we want to know how many beads it takes to make a bracelet and a necklace if we have 192 beads and that we need 5 times more beads for the necklace. Let's say the number of beads we need for the necklace is n and the number of beads for the bracelet is b. We know that n + b = 192. Next we also know that 5b=n. When we plug that into our equation we get: 5b + b= 192 or:6b=192. so b=192/6=32. Now we know that the number of beads for the bracelet is 32. To get the number of beads for the necklace we simply plug in b=32 into 5b=n and we get 5*32=n so the number of beads to make a necklace is n=160.