Posted by **Anonymous** on Friday, July 26, 2013 at 6:36pm.

Rosa ordered 120 pieces of jewelry. a number of bracelets for $10 each a number of necklaces for $12 each. She wrote check for $1400. How many bracelets and necklaces did she buy?

- Linear Algebra -
**MathMate**, Friday, July 26, 2013 at 7:26pm
Let

x=number of bracelets

y=number of necklaces

then

x+y=120

10x+12y=1400

Solve for x and y.

Quick mental calculation, no paper required:

If Rosa bought only necklaces, she would have paid 12*120=$1440.

Exchanging a necklace for a bracelet saves her $2, so to pay $1400, she must have saved $40, or bought 20 bracelets and 100 necklaces.

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