Set up the system of equations

Question

I am looking to set up the equation for this problem.

 

Emily likes to spend her spare time making her own jewelry and sells the pieces on Amazon. This month she wants to spend $80 on supplies to make necklaces, earrings, and bracelets. The supplies needed to make each necklace cost $3, to make each pair of earrings cost $2, and to make each bracelet cost $4. Earrings are her biggest seller and bracelets sell the least, so the number of pairs of earrings she makes is always 10 more than 3 times the number of bracelets. What are her options for the number of each type of jewelry she can make?

Answer 1

3n + 2e + 4b = 80

e = 3b + 10

 

You can substitute 3b + 10 for e.

 

3n + 2(3b + 10) + 4b = 80

3n + 6b + 20 + 4b = 80

3n + 10b = 60

 

Continue from here.