Question

A hotel off two activity packages.one costs $192 and includes 3h of horseback riding and 2h of parasailing. The second costs $213 and includes 2h of horseback riding and 3h of parasailing. What's is the costs for 1h of each activity?

Answer 1

h = cost of horseback riding per hr, p = cost of parasailing per hr
3h + 2p = 192...multiply by 2
2h + 3p = 213..multiply by -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 <== cost of 1 hr for parasailing

3h + 2p = 192
3h + 2(51) = 192
3h + 102 = 192
3h = 192 - 102
3h = 90
h = 90/3
h = 30 <== cost of 1 hr of horseback riding