Briefly

The ship's model

The ship's model


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To assemble my model of a sailboat I need some raft wood slats. In the modeling shop they sell them in boxes of a dozen and also in loose units although they are somewhat more expensive. So I ordered several boxes and some loose units to complete exactly what I needed.

As I had no money on me, the clerk, who is my friend, pointed it in my account, handed me the bag with the order and I left.

When I got home, I discovered that the clerk was wrong and that he had given me as many boxes as single units I had asked for and as many single units as boxes I had asked so that I have exactly half the slats I needed.

How many slats do I need to assemble the model?

Solution

If we call X to the number of boxes e Y to the amount of loose units
Y T to the total slats I need we have to:

If I equal both equations to eliminate T we have to

Where do we get that:

This equation has infinite integer solutions but since the number of single units will be less than 12 (since if I wouldn't ask for a complete box) the only possible solution is X = 23 and Y = 10. I ordered 23 boxes and 10 units that are 286 slats and yet they gave me 10 boxes and 23 slats that are 143 slats, exactly half of what I need.



Comments:

  1. Leane

    Anything can be

  2. Sceadu

    Excuse for that I interfere... At me a similar situation. Is ready to help.

  3. Trong

    Competently written and very convincing, tell us in more detail how you yourself worked it out

  4. Raymon

    You have hit the mark. I think, what is it excellent thought.



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