A PIECE OF PIE IN…

BUCHAREST!GHEORGHE ALINA-ALEXANDRA ISTRIȚEANU ALEXANDRA-IOANA

A collaborative task in the Comenius-eTwinning project “AIMS- Alternatives

for Innovative Math Study”

First, we went to the shop… There were so many products, we could not decide what to buy!

Finally, we chose the things we needed and bought them.

Price of an Entire Package

1 kilo (1000 g) of

flour – 3.50 lei

1 kilo (1000 g) of

sugar – 4.29 lei

1 kilo (1000

g)of salt – 1.70 lei

100 grams

of cocoa – 3.00 lei

4 x 5 ml (20 ml)

of vanilla essence

– 2.60 lei

6 eggs – 4.80

lei

250 grams

of butter – 7.99

lei

1 liter of milk – 5.49

lei

500 ml of

water – 2.59 lei

The ingredients we need for one pie (10 portions), in grams (1 cup = 250 g; 1 tablespoon = 20 g): For the dough:

* flour - 1.75 cups = 1.75 x 250 g = 437.5 g = approx. 440 g * salt - a pinch = half of a tablespoon = 20 g : 2 = 10 g

* butter (cut into small pieces) - 3/4 cup = 3/4 x 250 g = 187.5 g = approx. 190 g

* cold water – 4.5 tablespoons = 4.5 x 20 g = 90 g (= 90 ml) For the filling:

* unsweetened cocoa - 3 tablespoons = 3 x 20 g = 60 g * sugar - 1 cup = 1 x 250 g = 250 g

* water - 1 cup = 1 x 250 g = 250 g (= 250 ml) * butter - 2 tablespoons = 2 x 20 g = 40 g

* flour - 1/3 cup = 1/3 x 250 g = 83.(3) g = approx. 80 g * 3 egg yolks

* milk - 2/3 cup = 2/3 x 250 g = 166.(6) g = approx. 170 g (=approx. 170 ml)* vanilla - 1 teaspoon = 1 x 20 g = 20 g (= approx. 20 ml)

(we use a total of 440 g + 80 g = 520 g of flour and a total of 190 g + 40 g = 230 g of butter)

Price of a pie (10 portions): 520 g flour costs: 520 g / 1000 g x 3.50 lei = 1.82 lei 10 g salt costs: 10 g / 1000 g x 1.70 lei = 0.017 lei

230 g butter costs: 230 g/250 g x 7.99 lei=7.3508 lei90 ml of cold water costs: 90 ml/500 ml x 2.59 lei = 0.4662 lei60 g of unsweetened cocoa costs: 60 g/100 g x 3.00 lei =1.8

lei 250 g sugar costs: 250 g/1000 g x4.29 lei=1.0725 lei

250 ml of water costs: 250 ml / 500 ml x 2.59 lei = 1.295 lei 170 ml milk costs: 170 ml/1000 ml x 5.49 lei = 0.9(3) lei =

approx 0.93 lei 20 ml vanilla costs: 20 ml/20 ml x 2.60 lei = 2.60 lei

TOTAL: 1.82 lei + 0.017 lei + 7.3508 lei + 0.4662 lei + 1.8 lei + 1.0725 lei + 1.295 lei + 0.93 lei + 2.60 lei = 17.3515 lei

Ingredients needed for one portion of pie:flour: 520 g / 10 = 52 g

salt: 10 g / 10 = 1 gbutter: 230 g / 10 = 23 g

cold water: 90 ml / 10 = 9 ml = 9 gunsweetened cocoa: 60 g / 10 = 6 g

sugar: 250 g / 10 = 25 gwater: 250 ml / 10 = 25 ml = 25 g

milk: 170 ml / 10 = 17 ml = approx. 17 gvanilla: 20 ml / 10 = 2 ml = approx. 2 g

Price for one portion of pie:o 52 g flour costs: 52 g / 1000 g x 3.50 lei = 0.182 leio1 g salt costs: 1 g / 1000 g x 1.70 lei = 0.0017 lei

o23 g butter costs: 23 g / 250 g x 7.99 lei = 0.73508 leio9 ml cold water costs: 9 ml / 500 ml x 2.59 lei = 0.04662

o6 g unsweetened cocoa costs: 6 g / 100 g x 3.00 lei = 0.18 lei o25 g sugar costs: 25 g / 1000 g x 4.29 lei= 0.10725 leio25 ml water costs: 25 ml / 500 mlx2.59 lei= 0.1295 leio17 ml milk costs: 17 ml / 1000 ml x 5.49 lei= 0.093 leio2 ml vanilla costs: 2 ml / 20 ml x 2.60 lei = 0.26 lei

TOTAL: 0.182 lei + 0.0017 lei + 0.73508 lei + 0.04662 lei + 0.18 lei + 0.10725 lei + 0.1295 lei + 0.093 lei + 0.26 lei = 1.73515 lei

= approx. 0.39 euro = approx. 1.63 zloty

Ingredients needed for our group (2 portions), in grams:

flour: 52 g x 2 = 112 gsalt: 1 g x 2 = 2 g

butter: 23 g x 2 = 46 gcold water: 9 ml x 2 = 18 ml = 18 gunsweetened cocoa: 6 g x 2 = 12 g

sugar: 25 g x 2 = 50 gwater: 25 ml x 2 = 50 ml = 50 g

milk: 17 ml x 2 = 34 ml = approx. 34 gvanilla: 2 ml x 2 = 4 ml = approx. 4 g

Baking temperatures in ˚ Farenheit:(˚ F = 9/5 x ˚C + 32)

1. 210 ˚C = 9/5 x 210 + 32 = 378 + 32 = 410 ˚F2. 180 ˚C = 9/5 x 180 + 32 = 324 + 32 = 356 ˚F

The ratio between flour and butter:

520 g / 190 g = approx. 2.74

Prices for the same piece of pie in the partners’ towns:

Amsterdam (Holland):

1.43 x 1.73515 lei = approx. 2.48 lei (= approx.

0.56 euro)

Matera (Italy): 1.66 x 1.73515 lei = approx. 2.88 lei (= approx.

0.65 euro)

Ávila (Spain): 1.39 x

1.73515 lei = approx. 2.41 lei (= approx.

0.54 euro)

Myślenice (Poland): 0.91 x 1.73515 lei

= approx. 1.58 lei (=

approx. 1.49 zloty)

Charleville-Mézières

(France): 1.63 x 1.73515 lei

= approx. 2.83 lei (=

approx. 0.41 euro)

Thessaloniki (Greece) :

1.55 x 1.73515 lei = approx. 2.69 lei (= approx.

0.38 euro)

The average cost of the piece of pie in all the cities that take part in this project:

(1.73515 lei + 2.48 lei + 2.88 lei + 2.41 lei + 1.58 lei + 2.83 lei + 2.69 lei) / 7 = approx. 2.37 lei = approx. 0.53

euro = approx. 2.23 zloty

The difference between the average cost and the cost in Bucharest:

2.37 lei – 1.73515 lei = approx. 0.63 lei

How we had fun:

After baking…

The pie was really tasty! The dough was crispy, like a cracker, and the topping was like chocolate pudding… Delicious!