Answer
Horseback riding is 30 dollars per hour and parasailing is 51 dollars per hour.
Work Step by Step
Using the information given, create two equations:3x+2y=192 and 2x+3y=213. X represents horseback riding and y represents parasailing. Multiply the first equation by 2 and the second by -3:
2(3x+2y=192)
6x+4y=384 --- -3(2x+3y=213)
-6x-9y=-639.
Combine the two equations:
6x+4y=384
-6x-9y=-639
-5y=-255 -->divide both sides by -5
y=51
Plug in y=51 into one of the equations:
3x+2(51)=192
3x+102=192
3x=90
x=30
Check your work:
3(30)+2(51)=192
90+102=192
192=192
Horse riding is 30 dollars per hour and parasailing is 51 dollars per hour
