How much is the ring worth?

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At an eBay auction, a woman’s ring and a filigree jewelry box with a hand-painted ceramic top are on sale for $200.00 Dollars. The jewelry box is valued at $190.00 Dollars more than the ring. How much is the ring worth?

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    If you said $10.00 Dollars, you are wrong! It is not that simple.

    This is a problem that requires setting up two equations with two unknowns to find the answer.

    The box (B) plus the ring (R) cost $200.00 Dollars:

    B + R = 200

    The jewelry box is valued at $190.00 Dollars more than the ring, i.e., the price of the box (B) is equal to the price of the ring (R) plus $190.00 Dollars:

    B = R + 190

    Now we can substitute the right side of the second equation in the first equation and solve for R.

    R + 190 + R = 200
    2 R = 200 – 190
    2 R = 10
    R = 10/2
    R = 5

    The ring is worth $5.00 Dollars.
    The price of the box is $190.00 plus $5.00, which is $195.00 Dollars, and the box plus the ring add up to $200.00. So, everything checks out.

    anikam Expert Answered on 18th August 2015.
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