A piece of pie in Avila by  Alicia and Clara
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A piece of pie in Avila by Alicia and Clara

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Alicia and Clara calculate the price of a piece of pie in Ávila for the project AIS

Alicia and Clara calculate the price of a piece of pie in Ávila for the project AIS

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A piece of pie in Avila by  Alicia and Clara A piece of pie in Avila by Alicia and Clara Presentation Transcript

  • • In our group we´re two people. • We have to calculate the ingredient´s amount(in grams) we need for a pie(10 portions). • Calculate the ingredient´s amount we need for 2 portions and for 1 portion.
  • • Calculate how much a pie cost. • Calculate the price for two portions. • Calculate the price for one portion. • Convert the temperature needed from ºC to F. • Ratio of butter and flour that is found in our pie.
  • • We bought the ingredients and we took all the necessary datum to make the calculations.
  • • We calculated it using the information: • 1 cup= 250 g • 1 tablespoon=20g • FLOUR: 1,75 cups· 250g=440 g • BUTTER: 0.75 cups· 250g=187,5 g=190 g • COLD WATER: 5 tablespoons· 20 g=100g FOR THE FILLING ·COCOA: 3 tablespoons·20 g=60g ·SUGAR: 1cup· 250 g= 250g
  • • FLOUR: 0.33 cups· 250g= 82,5 g= 83g • BUTTER: 2 tablespoons·20 g= 40 g • CUP MILK: 0.66 cups· 250 g= 165 g • SWEET MILK: 0.66 cups· 250 g= 165 g • EGGS YOLKS: 3 eggs yolks • VANILLA: 1 teaspoon( more or less ½ of a tablespoon) · 10 g= 10 g
  • 165 g of milk 440 and 83 g 60 g of of flour cocoa 250 g of sugar 100 g of water 190 and 40 g of butter 10 g of vanilla 3 eggs yolks 165 g of sweet milk
  • • FLOUR: 10= 1,75, 2=X, so X= (2·1,75)/10= 0.35 cups · 250g=87,5 g= 90g • BUTTER: 10=0,75, 2=X, so X=(2·0,75)/10=0.15 cups · 250g= 37,5g=40g • COLD WATER: 10=5,2=X, So X=(2·5)/10=1 tablespoon ·20g=20g • FOR THE FILLING • COCOA: 10=3, 2=X, so X=(2·3)/10= 0,6 tablespoon ·20 g= 12g
  • • SUGAR:10=1, 2=X, so X=(2·1)/10= 0.2 cups· 250 g= 50 g • FLOUR:10=0.33, 2=X, so X=(2·O.33)/10=0.66 cups· 250g=15g • BUTTER:10=2, 2 =X, so X=(2·2)/10= 0.4 tablespoons· 20g= 8 g • EGGS YOLK= 10=3, 2=x, so X=(3·2)/10= 0.6 eggs, 0,5 eggs= ½ of an egg. • CUP MILK: 10= 0.66, 2=X, so X=(0.66·2)/10= 0.13 cups · 250 g= 33 g • SWEET MIL: 10=0.66, 2=X, so X=(0.66·2)/10= 0.13 cups·250 g=33g
  • • This time we calculated it in a different way, to show you that mathematics have a lot of different ways to do the same calculus: • We divided the ingredients for 10 people by 10 and we obtained these results: • FLOUR:440g/ 10 portions= 44 g • BUTTER:190g/10 portions= 19 g • COLD WATER: 100g/10 portions= 10 g
  • • • • • • • • • • • FOR THE FILLING: COCOA: 60 g/10 portions= 6 g SUGAR: 250 g/ 10 portions= 25 g FLOUR:83 g/ 10 portions= 8,3 g= 8 g BUTTER: 40 g / 10 portions= 4 g CUP MILK: 165 g/10 portions= 16,5 g= 17 g SWEET MILK: 165g/10 portions= 16,5 g = 17g EGGS YOLK: 3 eggs/ 10 portions= 0.03 yolks VANILLA: 10 g/ 10 portions= 1 g But also if we want we can calculate this with a rule of 3
  • • FLOUR: 1Kg(1000g)= 0.90€, 437g=X, so X=(437· 0,90)/1000= 0.4 € • BUTTER: 250g= 1,30€, 187g=X, so X=(187· 1,30)/ 250= 1€ • FOR THE FILLING • COCOA: 450g=3,35€, 60 g=X, so X=( 60· 3,35)/450= 0,50€ • SUGAR: 750g= 0.95€, 250g=X, so X=( 250· 0.95)/ 750= 0.30€
  • • BUTTER: 250g= 1.31€, 40g=X, so X=( 40·1.31)/ 250= 0.20€ • FLOUR: 1Kg(1000g)= 0.90€, 82,5g=X, so X=(82.5· 0.90)/ 1000= 0.1€ • EGG YOLK: 10 eggs= 1.83€, 3=X, so X=(3· 1.83)/10= 0.5€ • MILK: 165g·(1/1000)= 0.165l, 1,5L= 1.40€, 0.165L=X, so X=( 0.165· 1.40)/ 370= 0.15€ • SWEET MILK: 370g= 1.69€, 165g=X, so X=( 165· 1,69)/ 370= 0.75€
  • • SALT: 1Kg(1000g)= 0.25€ , a pinch of salt is more or less 1g= X, so X=(1· 0.25)/1000=0.00025€ as you can see it is not very expensive. • TOTAL PRICE: • 0.4€+0.50€+0.20€+0.50€+1€ +0.30€+0.01€+0.15€+0.75€= 3,81€
  • • We calculated it in two ways: • Dividing the price for 10 portions by 10: • 3,81€/ 10 portions= 0.381€=0.40€ • Using a rule of three: • FLOUR: 437g=0.4€, 44g= X, so X=( 44· 0.4)/ 437= 0.04€ • BUTTER: 187g=1€, 19g=X, so X=(19·1)/187=0.10€
  • • FOR THE FILLING: • COCOA: 60g=0.50€, 6 g=X, so X=(6·0.50)/60= 0.05€ • SUGAR: 250g= 0.30€, 25g=X, so X=( 25·0.30)/250=0.03€ • FLOUR: 82.5g=0.1€, 8g=X, so X=( 8· 0.1)/ 82.5= 0.009=0.01 € • BUTTER: 40g= 0.20€, 4g=X, so X=(4·0.20)/40=0.02€ • MILK: 165g=0.15€, 17g=X, so X=(17·0.15)/165=0.015€
  • • SWEET MILK: 165g=0,15€, 17g=X, so X=(17· 0.75)/ 165= 0.07€ • EGGS YOLK: 3 egg= 0.5€, 0.03 egg=X, so X=(0.03·0.5)/3=0.005€
  • • We calculated it in a faster way • If for 1 portion you have to pay 40 cent(0.40€) for 2 portions we did: • 0.40€ · 2 portions= 0.80€= 80 cent.
  • • To be able to cook our pie we followed the instructions. • To cook the pastry we turned on the oven at 250 ºC= 1.8·250+32=410F • To cook the filling we turned • on the oven at
  • • For 1 portion: • DOUGH: 19g:44g= it means that for every 19 g of butter you have to add 44 g of flour. • FILLING: 4g:8g= it means that for every 4 g of butter you have to add 8g of flour.
  • • First of all we collected all the ingredients necessary for the pie, the ones that we bought before in the supermarket. • Then we followed the instructions: • To prepare the dough we mixed the flour with the salt and the butter and we added water.
  • • With our hands we mixed it some minutes and we obtained a uniform mass, then we did a bubble and we placed it into the fridge for 1 hour. • After 1 hour we took the bubble and we kneaded with a rolling pin.
  • • When we had a thin mass of dough we placed it on the glass mould. • We placed the mould into the oven for 15 minutes at 250ºC
  • • While the daugh was in the oven we prepared the filling. We collected all the ingredients. • First we mixed with a mixer the cocoa, water and flour to obtain a smooth paste.
  • • Then we mixed sugar , the egg yolks, water and milk. After that we add the smooth paste of cocoa , water and butter into the new mixture, and we continued mixing. • Finally we obtained a fantastic chocolate cream.
  • • After 15 minutes the pastry was cooked, we took it and we poured the cream into the mould. • We put the mould again into the oven for approximately 45 minutes at 180ºC. • After 45 minutes the pie was ready!
  • • Just missing the best part! • Decorate the pie with the logo of the project and of course enjoy eating it! Unfortunately we had to clean up the kitchen before we could taste the pie.
  • By: Alicia Hortigüela and Clara García