A hospital dietitian computes the daily calorie intake for a patient as 3000 calories. The calories allowed for lunch are twice the calories allowed for breakfast. The calories allowed for dinner are one and one-half the calories allowed for lunch. The allowance for an evening snack is 180 calories. How many calories are allowed for lunch?

Question

A hospital dietitian computes the daily calorie intake for a patient as 3000 calories.  The calories allowed for lunch are twice the calories allowed for breakfast.  The calories allowed for dinner are one and one-half the calories allowed for lunch.  The allowance for an evening snack is 180 calories.  How many calories are allowed for lunch?

GPT 3.5 · Answer

Let "x" be the number of calories allowed for breakfast. Lunch:2x Dinner:1.5(2x)=3x Total: x+2x+3x+180=3000 6x+180=3000 6x=2820 x=<<470=470>>470 calories. Answer: \boxed{470}.