Question

melanie is selling bracelets and necklaces at the holiday fair. she sells each bracelet for $6.25 and each necklace for $12.50. in one day, she sold a total of 15 items and made $125. how many necklaces did melanie sell?

Answer 1

x= necklaces

y = bracelets

she sold 15 items x+y=15

each bracelet costs 6.25→ 6.,25x

each necklace costs 12.50→ 12.5y

for a total of $125

x+y= 15

6.25x+12.5y=125

per substitution : x=15-y

replace x :

6.25(15-y)+12.5y=125

93.75-6.25y+12.5y=125

6.25y=125-93.75

6.25y=31.25

y = 5

she sold 5 necklaces

we calculate x :

x+y=15

x+5=15

x=15-5=10

x=10

she sold 10 bracelets