With this question! ari has been paying attention to the number of calories she burns while exercising. one day she spent 3 hours hiking, and 4 canoeing, and she calculated that she burned 2338 calories. the next day, she hiked for 7 hours and canoed for one hour, and she calculated that she burned 3322 calories. how many calories per hour does ari burn doing each exercise?

Let the calories / hour for hiking = h
Let the calories / hour for canoeing = c
3h + 4 c = 2338
7h + c = 3322  Multiply this by 4

28h + 4c = 13288 Write the first equation underneath this one.
3h + 4c = 2338 Subtract

25h = 10950 Divide by 25
h = 10950 / 25
h = 438 calories for each hour hiking.

7h + c = 3322
7*438 + c = 3322
3066 + c = 3322
c = 3322 - 3066
c = 256 calories / hour canoeing.