Athena paid $5 each for 2 bracelets and later sold each for $15. she paid $8 each for 3 bracelets and sold each of them for $9.

write an expression that represents the profit athena made.

evaluate the expression. name the property used in each step

Athena purchased a chain for $5 and sold it for $ 15, her profit for each chain is $15-$5. So for 2 chains, her net profit = 2 * (15-5)

She also purchased bracelets for $8 and sold them for $9, her profit for each chain is $9-$8. So for three 3 bracelets, her net profit = 3 * (9-8)

Net profit from chains = 2 * (15-5) or 2*15 - 2*5 (distributive property)

Net profit from chains = 2*10 or 10*2 (Commutative property)

Net profit from chains = $20

Net profit from bracelets = 3 * (9-8) or 3*9 - 3*8 (distributive property)

Net profit from bracelets = 3*1 or 1*3 (Commutative property)

Net profit from bracelets = $3