At the gym, mandi ran 2 miles on the treadmill and then hiked 5 miles burning a total of 370 calories. If mandi burns 17 more calories running than she does biking, how many calories does she burn each mile that she bikes

Answer:Mandi burns 35.3  calorie/mile by hiking.Step-by-step explanation:Let, Mandi burns calories by running at the rate of x calorie/mileand, she burns calories by hiking at the rate of y calorie/mile.Then, according to the question,2x + 5y = 370 ------------(1)and 2x - 5y = 17 ---------(2)So, adding (1) and (2) we get,4x = 387⇒ x = 387/4 = 96. 75 -------------(3)Putting the value of x in (1) we get,5y = [tex]370 - 2 \times  96.75[/tex]⇒ 5y = 370 - 193.5 = 176.5⇒ y = 176.5/5 = 35.3 ---------(4)So, Mandi burns 35.3  calorie/mile by hiking.