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

Molly uses 160 beads to make the necklace.

Step-by-step explanation:

In this problem, we are given that Molly uses 192 beads to make a bracelet and a necklace. Let's assume that the number of beads used to make the bracelet is x. It is given that it takes 5 times as many beads to make a necklace than it does to make a bracelet. So, the number of beads used to make the necklace is 5x.

Since the total number of beads used for both the bracelet and the necklace is 192, we can set up an equation: x + 5x = 192.

Combining like terms, we get 6x = 192. Dividing both sides of the equation by 6, we find that x = 32. Therefore, the number of beads used to make the necklace is 5 times that of the bracelet, which is 5 * 32 = 160.

Answer 2

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.