Answer:
Cost of bracelet= $2.50
Cost of necklace= $3.50
Step-by-step explanation:
Form 2 equations which represents the given information. Do label them for easy referencing later!
2b +3n= 15.50 -----(1)
4b +n= 13.50 -----(2)
Let's solve by substitution!
Rewrite equation 2 such that n is the subject of formula:
n= 13.50 -4b -----(3)
Substitute (3) into (1):
2b +3(13.50 -4b)= 15.50
Expand:
2b +40.50 -12b= 15.50
Simplify:
-10b= 15.50 -40.50
-10b= -25
Divide both sides by -10:
b= 2.50
Substitute b= 2.50 into (3):
n= 13.50 -4(2.50)
n= 3.50
Thus, the cost of a bracelet is $2.50 while that of a necklace is $3.50.
Check
Cost of 2 bracelets and 3 necklaces
= 2($2.50) +3($3.50)
= $15.50 ✓
Cost of 4 bracelets and 1 necklace
= 4($2.50) +$3.50
= $13.50 ✓
Additional:
To learn more about solving a system of equations, feel free to check out the following!
