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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re: a solution

| Comment 2 of 3 |

(In reply to a solution by Larry)

I took a look with a program. Looks like you found

the only integer solution. Playing with half dollars I found:

54.00 26.50 19.50

54.50 26.50 19.00

54.50 27.00 18.50

55.00 26.00 19.00

55.00 26.50 18.50

55.50 25.50 19.00

This kinda shows where it's going if you accept pennies.

Surely there is an easy analytic solution using inequalities and substitution to give the real number limits.

Posted by Steven Lord on 2024-07-20 12:49:07

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