Question 1065172: 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 $11 each. She wrote a check for $1140 to pay for the order. How many bracelets and how many necklaces did Rosaria purchase?
Answer by ikleyn(52754)   (Show Source):
You can put this solution on YOUR website! .
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 $11 each. She wrote a check for $1140 to pay for the order. How many bracelets and how many necklaces did Rosaria purchase?
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B + N = 120, (1)
8B + 11N = 1140. (2)
From (1), express B = 120 - N and substitute it into (2) replacing B. You will have
8*(120-N) + 11N = 1140,
960 - 8N + 11N = 1140,
3N = 1140 - 960 ---> 3N = 180 ---> N = 60.
Then B = 120 - 60 = 60.
Answer. 60 bracelets and 60 necklaces.
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