# 50a/30b/20c ratio when 3228 is the total, a and b each hold 4 parts, and c holds 9. What is the value for each part?

So I need this for nutritional information. 3228 Calories. Carbs hold 4 calories/gr. Protein holds 4 calories/gr. Fat holds 9 calories/gr. The ratio is carbohydrates 50%, protein 30%, and fats 20% of the total calorie count (3228). I am so stumped. I need them broken down into how many grams each area (carb/protein/fat) has in that ratio in accordance with the total calories.

Thanks!

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Whether or not your brain farted is not relevant to the question, so I've removed it. –  Rahul Jan 23 '13 at 20:50
Here's a hint to get you started: If carbs are 50% of the total calorie count (3228), how many calories are carbs? If carbs have 4 calories per gram, how many grams is that? –  Rahul Jan 23 '13 at 20:52
Just out of curiosity: What have you tried to tackle this problem? –  k.stm Jan 23 '13 at 21:04

If carbohydrates are $50\%$ of $3228$ calories, they supply $3228 \cdot 50\%=1614$ calories. At $4$ calories per gram, this takes $\frac {1614}4=403.5$ grams. The others are similar.