problem solving

Question

At Rhonda's diner, five loaded baked potatoes and four cheeseburgers provide 4830 calories. One loaded baked potato and four cheeseburgers provide 2630 calories. Find the calorie content of each item.

Answer 1

Hi.

 

The problem requires isolation of the products which is relatively easy.  If you subtract 1 baked potato and all of the burgers from the total; what is left is 4 baked potatoes.  Divide the result of the subtraction by 4 (baked potato count) to get the calorie count for a baked potato.  Subtract the amount from the 1 baked potato and all cheese burgers total to get the calorie content for all the cheese burgers.  Then divide the remainder by 4 (cheese burger count) to arrive at the calories per burger.

 

4830-2630 = 2200

2200÷4 = 550

2630-550 = 2080

2080÷4 = 520

 

ergo 1 potato = 550 calories and 1 burger = 520 calories