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Dutch Mathematical Olympiad

Netherlands number theory

Problem

At the beginning of the day, a toy shop has 20 sticker sheets (0.30 euro each), 18 footballs (3 euros each), 5 teddy bears (5 euros each) and 8 water guns (15 euros each) in stock. The new cashier makes a mess of the records and reports at the end of the day about the sale of these four items only that the total amount is 75.80 euros, and that fewer footballs were sold than any other item. How many teddy bears have been sold? A) 1 B) 2 C) 3 D) 4 E) 5
Solution
D) 4
Final answer
D

Techniques

Techniques: modulo, size analysis, order analysis, inequalities