Question

One bar of candy A and two bars of candy B have 768 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.

Answer 1

Bar A : 266 calories; Bar B : 251 calories

Explanation:

Assume bar A's caloric content is "a" and bar B's caloric content is "b".

1. a + 2b = 768

2. 2a + b = 783

Add both equations together.

3. 3a + 3b = 1551

Divide both sides by 3.

4. a + b = 517

Subtract equation 4 from equation 1.

5. a + 2b - a - b = 768 - 517

Evaluate.

6. b = 251

Subtract b's value from equation 2.

7. 2a + b - b = 783 - 251

Evaluate.

8. 2a = 532

Divide both sides by 2.

9. a = 266