Question

Fast food hamburgers have high amounts of cholesterol. Two McDonald’s Quarter Pounders and three Burger King Whoppers contain a total of 395 mg of cholesterol. Three Quarter Pounders and one Whopper contain a total of 288 mg of cholesterol. Determine the cholesterol content in each hamburger.

Answer 1

McDonald’s Quarter Pounders = 67 mg of cholesterol

Burger King Whoppers = 87 of cholesterol

Explanation:

McDonald’s Quarter Pounders = m

Burger King Whoppers = b

2m + 3b = 395

3m + 1b = 288

3m + b = 288

b = -3m + 288

2m + 3b = 395

2m + 3(-3m + 288) = 395

2m - 9m + 864 = 395

- 7m + 864 = 395

- 7m/7 = -469/7

-m = -67

-m/-1 = -67/-1

m = 67

2m + 3b = 395

2(67) + 3b = 395

134 + 3b = 395

3b = 395 - 134

3b = 261

3b/3 = 261/3

b = 87

Check: m = 67; b = 87

2m + 3b = 395

3m + 1b = 288

2m + 3b = 395

2(67) + 3(87) = 395

134 + 261 = 395

395 = 395

3m + 1b = 288

3(67) + 1(87) = 288

201 + 87 = 288

288 = 288

(Probs too late but welp :p)