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The FDA's acceptable daily intake for Allura Red Dye is 7.0 mg/kg bodyweight per day Calculate how many servings a 200-lb person may have per day (or if you would like to, calculate how many servings you may have per day). In 1 kg, there are 2.20 lbs
How many servings can a 5-year-old child, weighing 55-lb, drink in a day to remain below an acceptable daily intake of 7.0 mg/kg bodyweight?

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Answer:

  • Since some data are missing, see the assumptions and calculations below for an hypothetical scenary.

Explanation:

1. The Food

You need to assume the content of Allura Red Dye in the food or beverage that will be consumed.

Assume that it is a beverage and that it contains 50 mg of Allura Red Dye per liter.

Also, you need to assume the size of a serving. Assume it is 250 ml.

Then, one serving contains: 50mg/1liter × 250ml × 1liter/1,000ml = 12.5mg

1. Calculate how many servings a 200-lb person may have per day.

i) Acceptable daily intake: 7.0mg/kg (given)

ii) 200 lb (given)

iii) Convert to kg: 200 lb × 1 kg /2.20lbs = 90.90 kg

iv) Set a proportion:

  • 7.0mg / 1kg = x / 90.09kg

v) Solve for x:

  • x = 90.09kg × 7.0mg / 1kg = 630.63mg

vI) Calculate the number of servings:

  • 630.63mg / 12.5mg = 50.5 servings ← answer

2. How many servings can a 5-year-old child, weighing 55-lb, drink in a day to remain below an acceptable daily intake of 7.0 mg/kg bodyweight?

i) Convert to kg: 55 lb × 1 kg /2.20lbs = 25 kg

ii) Set the proportion:

  • 7.0mg / 1kg = x / 25kg

v) Solve for x:

  • x = 25kg × 7.0mg / 1kg = 175mg

vI) Calculate the number of servings:

  • 175mg / 12.5mg = 14 servings ← answer

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