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 a necklace. Please breakdown of step by step.
The answer is 160
5x + x = 192
6x = 192
x = 32
5 * 32 = ________ beads for a necklace
To solve this problem, we can use algebraic equations and the given information.
Step 1: Let's assume that the number of beads used to make the bracelet is represented by "x".
Step 2: The problem states that it takes 5 times as many beads to make a necklace as it does to make a bracelet. So, the number of beads used to make the necklace can be represented as "5x".
Step 3: According to the problem, Molly use a total of 192 beads for both the bracelet and the necklace. We can write this as an equation:
x + 5x = 192
Step 4: Combine the terms on the left side of the equation:
6x = 192
Step 5: Divide both sides of the equation by 6 to solve for x:
x = 192 / 6
x = 32
Step 6: Now that we have found the value of x, we can substitute it back into the expression for the number of beads used to make the necklace (5x):
Number of beads used to make the necklace = 5 x 32 = 160
Therefore, in this scenario, Molly uses 160 beads to make the necklace.