word problem

Question

Please help me solve this problem. Thank you

If the caffeine concentration in a particular brand of soda is 2.51 mg/oz, drinking how many cans of soda would be lethal? Assume 10.0 grams of caffeine is a lethal dose, and there are 12 oz in a can.

Hint: there are 1000mg in a gram. 

Answer 1

hi Beatrice

 

Being a caffeine consumer myself...this one is close to my heart =)

 

To solve this one we first need to convert 10.0 grams to mg: 10.0gr x 1000 mg/gr = 10,000 mg

 

Then we convert from this number to ounces of soda:  10,000 mg x oz of soda/2.51 mg = 3894 oz of soda

 

Converting to cans of soda: 3894 oz x can/12 oz = 332 cans.

 

So even the biggest soda guzzler is in no danger!