SOLUTION: On a buying trip in Los Angles, Rosaria Perez ordered 120 pieces of jewelry; a number of bracelets at $4 each and a number of necklaces at $8 each. She wrote a check for $560 to pa

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Question 107722: On a buying trip in Los Angles, Rosaria Perez ordered 120 pieces of jewelry; a number of bracelets at $4 each and a number of necklaces at $8 each. She wrote a check for $560 to pay for the order. How many bracelets and how many necklaces di Rosaria purchase?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rosaria Perez ordered 120 pieces of jewelry; a number of bracelets at $4 each and a number of necklaces at $8 each. She wrote a check for $560 to pay for the order. How many bracelets and how many necklaces di Rosaria purchase?
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Let # of $4 pieces be "x"; value is 4x dollars
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# of $8 pieces is "120-x" ; value is 8(120-x)=960-8x dollars
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EQUATION:
value + value = 560 dollars
4x + 960-8x = 560
-4x = -400
x = 100 (# of $4 pieces)
120-x = 20 (# of $8 pieces)
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
B = number of bracelets ordered
N = number of necklaces ordered
B+%2B+N+=+120 This is given
B+=+120+-+N
also
4B+%2B+8N+=+560 Given
4%28120+-+N%29+%2B+8N+=+560
480+-+4N+%2B+8N+=+560
480+%2B+4N+=+560
4N+=+80
N+=+20 answer
B+=+120+-+N
B+=+100 answer
She ordered 20 necklaces and 100 bracelets
check answers by plugging back into original equations