## Task 1 - 340531

Fritz dreamed that he would receive a package full of gummy bears if he solved three tasks (a), (b), (c).

Although it was only a dream and he doesn't know if the numbers in the dream are accurate, he still wants to solve the tasks. In his dream, it was said:

A package contains 1000 gummy bears. They are distributed in 50 bags.

The contents of one bag cost 1.60 DM. One kilogram of gummy bears costs 20 DM. Each bag contains the same number of gummy bears as every other bag. Each gummy bear weighs the same and costs the same as every other gummy bear.

The tasks are:

(a) How much do the gummy bears in a package cost in total?

(b) How much does the content of one bag weigh?

(c) How much does one gummy bear weigh?

Provide the solutions to (a), (b), (c) and explain how you obtained them!
(a) Since a package contains 50 bags and the content of each bag costs 1.60 DM, the gummy bears in one package together cost $50 \cdot 1.60 \mathrm{DM}=80 \mathrm{DM}$.

(b) Since 1000 grams of gummy bears cost 2000 pfennigs, 1 gram costs 2 pfennigs. Therefore, 80 grams cost 1.60 DM.

This is the price for the content of one bag; this content therefore weighs 80 grams.

(c) Since the 50 bags in one package contain 1000 gummy bears, one bag contains 1000 : $50=20$ gummy bears. Since these, as found in (b), weigh 80 grams, one gummy bear weighs 80 $\mathrm{g}: 20=4 \mathrm{~g}$.