A girl has four pieces of a chain. Each piece is made up of three links. She wants to join the pieces into a single closed loop of chain (like a necklace). To open a link costs 2 cents and to close a link costs 3 cents. She only has 15 cents. How does she do it?

Question

Mathematics

Isabel Schneider

25 January, 22:36

A girl has four pieces of a chain. Each piece is made up of three links. She wants to join the pieces into a single closed loop of chain (like a necklace). To open a link costs 2 cents and to close a link costs 3 cents. She only has 15 cents. How does she do it?

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Answers (1)

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Darryl Bradford · Answer 1

Step-by-step explanation:

First we take three of the chains and place next to each other in the form of a triangle.

Now we take the fourth chain. open each link of the fourth chain.

For opening each link of fourth chain it costs 2+2+2 = 6 cents.

Now connect each opened link with the vertices of the triangle to connect all the 3 chains.

Close the vertices of the triangle to make necklace.

For closing it costs 3+3+3 = 9 cents

Total cents = 6+9 = 15 cents