perplexus.info :: Numbers : Spending Spree

Spending Spree (Posted on 2024-07-20)

Suppose that one bowl costs more than two plates, three plates cost more than four candlesticks, and three candlesticks cost more than one bowl.
If it costs precicely $100 to purchase a plate, bowl, and candlestick, how much does each item cost?

No Solution Yet Submitted by K Sengupta

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a solution

| Comment 1 of 3

I started writing out equations, but then I just made a guess.

First guess (B,P,C) = (60,29,21) satisfies inequalities but sum is 110.

Decrease by about 10%

Second guess (B,P,C) = (55,27,18) satisfies only 2 inequalities and sum is 100

Third guess (B,P,C) = (55,26,19) satisfies inequalities and sum is 100

(B,P,C) = (55,26,19) is a solution, I suspect there is likely more than one integer solution and an infinity of real number solutions.

Posted by Larry on 2024-07-20 11:34:43

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