Question

Cassie is creating beaded jewelry to give to her family and friends. For her family, she assembled 6 bracelets and 10 necklaces, using a total of 818 beads. For her friends, she assembled 8 bracelets and 4 necklaces, using a total of 596 beads. Assuming she uses a consistent number of beads for every bracelet and necklace, how many beads is she using for each?

Answer 1

To find the number of beads Cassie is using for each bracelet and necklace, set up a system of equations using the given information and solve for the variables.

Step-by-step explanation:

To find the number of beads Cassie is using for each bracelet and necklace, we can set up a system of equations. Let's call the number of beads used for each bracelet x and the number of beads used for each necklace y.

For her family, she assembled 6 bracelets and 10 necklaces, using a total of 818 beads. This can be represented by the equation 6x + 10y = 818.

For her friends, she assembled 8 bracelets and 4 necklaces, using a total of 596 beads. This can be represented by the equation 8x + 4y = 596.

Now we have a system of equations:

6x + 10y = 818
8x + 4y = 596

We can solve this system of equations using various methods such as substitution or elimination. Once we find the values of x and y, we will know the number of beads Cassie is using for each bracelet and necklace.