Sara is selling rings and bracelets online.
today she made 5 rings and 3 braclets, using a total of 340 centimeters of copper wire.
each bracelet needs 4 times more wire than each ring.
how much wire is needed for each piece of jewelry?
write and solve a system of equations.

20 cm of wire is needed for rings

80 cm of wire is needed for bracelets

Step-by-step explanation:

We can set up the following system of equations:

Substituting b with 4r in the first equation:

Thus, 20 cm of copper wire is needed for each ring, and:

Therefore, 80 cm of copper wire is needed for each bracelet.

To verify our numbers, if Sara made 5 rings and 3 bracelets, she would need (20 cm × 5) + (80 cm × 3) = 100 cm + 240 cm = 340 cm of copper wire. This is correct.