## Task 1 - 290721

Susi goes shopping. From the money her mother gave her, she spends $30 \%$ at the butcher's; at the dairy, she pays with a quarter of the amount her mother gave her. At the greengrocer's, she needs exactly four fifths of the amount she paid at the butcher's.

At the bakery, she finally spends twice as much money as the remaining amount she brings back home. Her mother gives her half of this remaining amount, which is exactly $1.05 \mathrm{M}$, so she can buy a soft ice cream.

Determine the amount of money Susi initially received from her mother!
Given that half of the remaining amount that Susi brought back home was exactly 1.05 M, it follows that this remaining amount was 2.10 M. Twice as much, therefore, 4.20 M, was what Susi spent at the bakery.

After shopping at the butcher's, dairy, and vegetable store, she thus had 4.20 M + 2.10 M = 6.30 M. At the butcher's, she spent 30% of the amount her mother originally gave her; at the vegetable store, four-fifths of these 30%, which is 24% of the original amount.

At the dairy, she spent a quarter, i.e., 25% of the original amount. Therefore, in these three stores, Susi spent 30% + 25% + 24% = 79% of the original amount; consequently, the 6.30 M that remained after these three purchases were 21% of the original amount. If G was this amount, then G = 6.30 * 100/21 M = 30 M.