Question

Riley is creating beaded jewelry to give to her family and friends. For her family, she assembled 1 bracelet and 10 necklaces, using a total of 637 beads. For her friends, she assembled 1 bracelet and 9 necklaces, using a total of 575 beads. Assuming she uses a consistent number of beads for every bracelet and necklace, how many beads is she using for each? Riley uses ___ beads for each bracelet and ___ beads for each necklace.

Answer 1

To find the number of beads Riley uses for each bracelet and each necklace, we can solve a system of equations based on the given information. Riley uses 17 beads for each bracelet and 62 beads for each necklace.

Step-by-step explanation:

To find the number of beads Riley uses for each bracelet and each necklace, we can set up a system of equations based on the given information. Let's let 'x' represent the number of beads for each bracelet and 'y' represent the number of beads for each necklace. We have two equations:

For family: x + 10y = 637

For friends: x + 9y = 575

We can solve this system of equations by subtracting the second equation from the first equation, which will eliminate 'x':

x + 10y - (x + 9y) = 637 - 575

y = 62

Now we can substitute this value of 'y' back into one of the original equations to solve for 'x'. Let's use the equation for family:

x + 10(62) = 637

x + 620 = 637

x = 17

Therefore, Riley uses 17 beads for each bracelet and 62 beads for each necklace.