B2. Mother decided to save money for her two sons for two weeks. In Andrej's piggy bank, she put 1 cent on the first day, and each subsequent day she put in twice as much as the previous day. In Mih's piggy bank, she put 75 euros at the end of each week.

A How much money did she save for Andrej after one week?

B How much money did she save for Mih after two weeks?

C How much money did she save for Andrej after two weeks?

D For whom did she save more money after two weeks and by what percentage?
B2. For Andrej, his mother saves 0.01 euros on the first day, and each subsequent day she saves twice as much as the previous day, or in one week: $0.01+0.02+0.04+0.08+0.16+0.32+0.64=1.27$ EUR. In the next week: $1.28+2.56+5.12+10.24+20.48+40.96+81.92=162.56$ EUR. In both weeks, she saves 163.83 EUR for Andrej.

For Miha, she saves 75 EUR each week, so 150 EUR in two weeks.

For Andrej, she saves $\frac{163.83}{150}=1.0922$ times more than for Miha, or $9.22\%$ more.

Scoring: Total: 7 points

After one week, the mother saves 1.27 EUR for Andrej.

After two weeks, she saves 163.83 EUR for Andrej. ......................................... 2 p

![](https://cdn.mathpix.com/cropped/2024_06_07_c432f7ef362881c6ef9bg-6.jpg?height=51&width=1648&top_left_y=2350&top_left_x=227)

For Andrej, she saves $9.22\%$ more than for Miha ............................................. 1 p