BTGmoderatorDC wrote: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?
A. 3
B. 4
C. 5
D. 6
E. 7
OA A
Source: Manhattan Prep
For 10 days, Tom's total calory intake was 2,720*10 = 27,200 calories
Recommended calory intake for 10 days would be (2,400 + 200)*10 = 26,000 calories
Thus, extra intake = 27,200 - 26,000 = 1,200 calories
This extra 1,200 cal intake is because Tom splurged on a few days, taking 3 times the recommended the number of calories from snacks and dessert
Say Tom spurged for x days; thus, his extra intake of snacks and dessert per day = 3*200 - 200 = 400 cal; subtracted 200 since the recommended intake of 200 cal was already taken into the account in 26,000 cal.
=> 1,200 = 400x => x = 3 days
The correct answer:
A
Hope this helps!
-Jay
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