One cheeseburger and two shakes provide 3620 calories. Two cheeseburgers and one shake provide 3460 calories. Find the caloric content of each item.

Question

One cheeseburger and two shakes provide 3620 calories. Two cheeseburgers and one shake provide 3460 calories. Find the caloric content for each item.

A. One cheeseburger contains ? calories

B. One shake contains ? calories

Answer 1

C +2s = 3620 ---> C = 3620 - 2s

2c + s = 3460

2(3620 - 2s) + s = 3460

7240 - 4s + s = 3460

7240 - 3s = 3460

-3s = -3780

s = 1260

C = 3620 - 2(1260) = 1100