7.1. Masha and the Bear ate a basket of raspberries and 60 pies, starting and finishing at the same time. At first, Masha was eating raspberries, and the Bear was eating pies, then (at some point) they switched. The Bear ate raspberries 6 times faster than Masha, and pies only 3 times faster. How many pies did the Bear eat, if he ate twice as many raspberries as Masha?
Answer: 54 pies. Solution: Divide the raspberries into 3 equal parts. The bear ate each part 6 times faster than Masha, but there are two parts, so he spent only 3 times less time on the raspberries than Masha. This means Masha ate pies in one-third of the time the bear did. Since she eats three times slower, she ate 9 times fewer pies than the bear. Dividing the pies in the ratio of 9:1, we see that Masha got the 10th part, which is 6 pies. The remaining 54 pies went to the bear.

Criterion: Correct answer - no less than 2 points, with full justification - 7 points.