SOLUTION: One​ 8-oz serving each of​ coffee, energy​ drink, and soda contains 201 mg of caffeine. One serving of coffee has 8 mg more caffeine than two servings of soda. On

Algebra ->  Equations -> SOLUTION: One​ 8-oz serving each of​ coffee, energy​ drink, and soda contains 201 mg of caffeine. One serving of coffee has 8 mg more caffeine than two servings of soda. On      Log On


   

Question 1114182: One​ 8-oz serving each of​ coffee, energy​ drink, and soda contains 201 mg of caffeine. One serving of coffee has 8 mg more caffeine than two servings of soda. One serving of energy drink contains 37 mg less caffeine than one serving each of coffee and soda. Find the amount of caffeine in one serving of each beverage.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If assign variables c for coffee, d for energy Drink, and x for soda; for miligrams of caffeine in each, then the literal description takes the form:

system%28c%2Bd%2Bx=201%2Cc=2x%2B8%2Cd=c%2Bx-37%29.

The first equation can be rewritten, after some substitutions using the other two equations, into 6x=222
highlight%28x=37%29------mg caffeine for the soda.

Find the other two quantities c and d using now found x.