Solve the problem.
-On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $10 each. She wrote a check for $1160 to pay for the order. How many bracelets
And how many necklaces did Rosaria purchase?
A) 30 bracelets and 90 necklaces
B) 25 bracelets and 95 necklaces
C) 20 bracelets and 100 necklaces
D) 15 bracelets and 105 necklaces

Question

Quizplus · Accepted Answer

Let the number of bracelets be $b$ and the number of necklaces be $n$. We have two equations from the problem statement:1. $b + n = 120$ (total pieces of jewelry)2. $8b + 10n = 1160$ (total cost)Multiplying the first equation by 8 gives us $8b + 8n = 960$. Subtracting this from the second equation gives $2n = 200$, so $n = 100$. Substituting $n = 100$ into the first equation gives $b = 20$. Therefore, Rosaria purchased 20 bracelets and 100 necklaces.

Solve the Problem. -On a Buying Trip in Los Angeles, Rosaria Perez Ordered