whole chickens would be the way to get cheap calories. i have no idea how the hell you can do 3k calorie on $5
nets say 1oz white meat is 35 calories and 1oz dark meat is 50 calories baked/roasted.
that's
560 calories for 1lb of white meat
800 calories for 1lb of dark meat
just buying chicken thats been precut alone will tell you it's not possible. if you buy chicken breast at $1.99/lb (which is usually sale price, usual price would be 2.99) how.
whole chicken is going to be your best price/lb ratio and it'll save you lots, try roasting/butterfly/beer can,
if you want to be sure, use an oven probe
Amazon.com: Polder Digital In-Oven Thermometer/Timer, Graphite color: Meat Thermometer: Kitchen Dining
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