Problema Solution
one 8-oz serving each of coffee, energy drink, and soda contains 203 mg of caffeine. one serving of coffee has 2 mg more caffeine than two servings of soda. one serving of energy drink contains 35 mg less caffeine than one serving each of coffee and soda. find the amount of caffeine in one serving of each beverage.
Answer provided by our tutors
Quick Answer: Coffee has 80mg, Energy Drink has 84mg and Soda has 39mg caffeine
Turn statements into formulas:
c+e+s=203
c=2s+2
e=c+s-35
Plug into formulas to get 1 variable, then use the result to solve for the other pieces:
c+e+s=203 becomes (2s+2)+((2s+2)+s-35)+s=203
6s-31=203
6s=234
s=39
Plugging 39 in for "s" to solve for the other drinks:
c=2s+2=2(39)+2=78+2=80
e=c+s-35=80+39-35=84
Quick check:
c+e+s=203
39+80+84=203 check!