Solve the problem.
-On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $11 each and a number of necklaces at $14 each. She wrote a check for $1590 to pay for the order. How many bracelets
And how many necklaces did Rosaria purchase?
A) 35 bracelets and 85 necklaces
B) 25 bracelets and 95 necklaces
C) 40 bracelets and 80 necklaces
D) 30 bracelets and 90 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. $b + n = 120$ (the total number of pieces of jewelry)2. $11b + 14n = 1590$ (the total cost of the jewelry)Solving these equations simultaneously, we can find the values of $b$ and $n$. Multiplying the first equation by 11 gives us $11b + 11n = 1320$. Subtracting this from the second equation gives $3n = 270$, so $n = 90$. Substituting $n = 90$ into the first equation gives $b = 30$.Therefore, Rosaria purchased 30 bracelets and 90 necklaces.

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