Question

At Rhonda’s diner, 5 loaded baked potatoes and 4 cheeseburgers provide 4830 calories. 1 loaded baked potato and 4 cheeseburgers provide 2630 calories. Find the calorie content of each item.

Answer 1

Potato: 550 calories

Cheeseburger: 520 calories

Explanation:

Equation:

5p + 4c = 4830

p + 4c = 2630

5p + 4c = 4830

p + 4c = 2630 ----------> p = -4c + 2630

5(-4c+2630) + 4c = 4830

-20c + 13150 + 4c = 4830

-16c + 13150 = 4830

-16c = -8320

C = 520

Cheeseburger = 520 calories

p + 4(520) = 2630

p + 2080 = 2630

p = 550

Potato = 550 calories