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One 8-oz serving each of coffee, energy drink, and soda contains 199 mg of caffeine. One serving of coffee has 11 mg more caffeine than two serving of soda. One serving of energy drink contains 33 less caffeine than one serving each of soda and coffee. Find the amount of caffeine in one serving of each beverage

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Answer:

soda = 35mg

coffee = 81mg

energy = 83mg

Step-by-step explanation:

coffee + energy + soda = 199

coffee = 11 + (2 * soda)

energy = (soda + coffee) - 33

(11 + (2 * soda)) + ((soda + (11 + (2 * soda))) - 33) + soda = 199

11 + 2s + s + 11 + 2s - 33 + s = 199

22 + 6s - 33 = 199

-11 + 6s = 199

6s = 210

s = 35

soda = 35mg

c  = 11 + 2s

c = 11 + 2(35)

c = 11 + 70

c = 81

coffee = 81mg

e = s + c - 33

e = (35) + (81) - 33

e = 116 - 33

e = 83

energy = 83mg