Tom is on a certain diet that requires him to limit the number of calories he takes in each day. He is allowed to take in 2400 calories each day from three square meals, and 200 calories each day from snacks and dessert combined. On some days, he splurges by taking in three times the recommended number of calories from snacks and dessert. The rest of the days, he follows the calorie guidelines precisely. If his average calorie intake for a 10 day period was 2720, on how many days did he splurge?
-> I think the solution for this is unnecessarily complicated.
It can be solved by:
- Avg consumption of calories for snacks = 2720-2400 = 320
- Avg consumption (for snacks) if he hadn't splurged = 200
- Avg Excess calories = 320-200 =120
- Total calories over 10 days = 1200
- No of days splurged = 1200/(600-200) = 3
Note: we subtract 200 from 600 because 200 is already accounted for in the total of 1200