5. At the bakery. The bakery has three types of buns. For 1 cent, you can buy either one bun of the first type, or two buns of the second type, or, finally, three buns of the third type.[^1]
Children (among whom there were an equal number of boys and girls) received 7 cents to buy buns, with each child receiving the same amount. How many buns of each type did the children buy, if no bun was cut?
This one wants a proof. Work it on paper, read the official solution, then mark
yourself honestly — the ladder only means something if the record is true.
Official solution
5. The group of children consisted of three boys and three girls. Each child received two rolls of the third grade and one roll of the second grade, the total cost of all the rolls is 7 cents.
Source: NuminaMath-1.5,
licensed Apache-2.0.
Statement and solution reproduced as published; topic, difficulty and ordering added
by this site.