One 8-oz serving each of coffee, energy drink, and soda contains $202 \mathrm{mg}$ of caffeine. One serving of coffee has $10 \mathrm{mg}$ more caffeine than two servings of soda. One serving of energy drink contains $40 \mathrm{mg}$ less caffeine than one serving each of coffee and soda. Find the amount of caffeine in one serving of each beverage. The amount of caffeine in one serving of coffee is $\mathrm{mg}$, in one serving of energy drink is $\mathrm{mg}$, and in one serving of soda is $\square \mathrm{mg}$. (Type whole numbers.)

Step 1 ：Let's denote the amount of caffeine in one serving of coffee as C, in one serving of energy drink as E, and in one serving of soda as S.

Step 2 ：From the problem, we know that: \(C + E + S = 202\) (The total amount of caffeine in one serving each of coffee, energy drink, and soda)

Step 3 ：Also, \(C = 10 + 2S\) (One serving of coffee has 10mg more caffeine than two servings of soda)

Step 4 ：And, \(E = C + S - 40\) (One serving of energy drink contains 40mg less caffeine than one serving each of coffee and soda)

Step 5 ：We can solve this system of equations to find the values of C, E, and S.

Step 6 ：The solution is: \(C = 84\), \(E = 81\), \(S = 37\)

Step 7 ：Final Answer: The amount of caffeine in one serving of coffee is \(\boxed{84 \mathrm{mg}}\), in one serving of energy drink is \(\boxed{81 \mathrm{mg}}\), and in one serving of soda is \(\boxed{37 \mathrm{mg}}\)