National Math Trail Project

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National Math Trail Project

• Luiza Tavares
• Maria Clara
• Marcela Santos
• Renata Nazareth
• Alexei Freire

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Mercado Modelo
Mercado Modelo

• It was built in the 1861 on Praça Cayru to
  serve as a customs house. After the original
  building caught fire it was transferred to the
  current place, which is a square, with a rotund
  on the back where ships used to dock and unload
  goods.

Former Mercado Modelo
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History

• Today it is restored with more than 200 boxes
  that sell all kinds of things. In it many
  artistic and cultural events, such as the
  capoeira, which is a fight that resembles an
  African dance, take place. The lower part of the
  building, in the past, was used in to torture
  slaves and today we can still find some artifacts
  from that time.

Mercado Modelo Today
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Smaller Boxes
  Smaller Boxes An American businessman visiting
Bahia wants to buy vases to sell in his store in
the USA. He has a container which measures 3m in
length, 2m in width and 2m in height. He wants to
fill his container with smaller boxes. One 10 by
10 cm and another one with 20 by 20 cm so as to
protect the vases. How many boxes of each kind
can be put inside the container in a way that the
number of 10x10 cm boxes is four times as many as
the number of 20x20 cm boxes?
Container
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  The volume inside the container is
12m3 (2m)(2m)(3m)12m3 The volume inside the
10x10 box is 0.001m3 (10cm)(10cm)(10cm)1000cm30.
001m3 The volume inside the 20x20 box is
0.008m3 (20cm)(20cm)(20cm)8000cm30.008m3
So, if x 10x10 boxes and y 20x20
boxes 0.001x 0.008y12 x 4y

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Solution 0.001(4y) 0.008y12 0.004y
0.008y12 0.012y12
y12/0.012 y1000  x 4(1000) x
4000   So, there are 1000 boxes 20x20 and 4000
boxes 10x10.