IKMC 2027 - Grades 7-8 - Self-study SET 16 - Thematic Batch 3 Question 11

John played 500 smartphone games last week and won 25% of them. This week his skills improved: he won half of his games and brought his overall win rate to 40%. How many games did he play this week?

Editorial clarification: the 40% rate is the cumulative rate over both weeks.