Question

a hotel offers to activity packages. One cost $192 and includes three hours of horseback riding and two hours of parasailing. The second cost to $213 and includes two hours of horseback riding and three hours of parasailing. What is the cost for 1 hours of each activity

Answer 1

The first part of the math question is 64.3 and I think for the second part of the question as far as going parasailing is 71

Answer 2

3h + 2p = 192 -->(-2) 2h + 3p = 213 -->(3) ------------- -6h - 4p = - 384 (result of multiplying by -2) 6h + 9p = 639 (result of multiplying by 3) --------------add 5p = 255 p = 255/5 p = 51 now sub 51 in for p in either of the original equations to find h 3h + 2p = 192 3h + 2(51) = 192 3h + 102 = 192 3h = 192 - 102 3h = 90 h = 90/3 h = 30 check... 3h + 2p = 192 2h + 3p = 213 3(30) + 2(51) = 192 2(30) + 3(51) = 213 90 + 102 = 192 60 + 153 = 213 192 = 192 (correct) 213 = 213 (correct) 1 hr of horseback riding (h) costs $ 30 1 hr of para-sailing (p) costs $ 51