A hotel offers two activity packages. One costs $192 and includes 3 h of horseback riding and 2 h of parasailing. The second costs $213 and includes 2 h of horseback riding and 3 h of parasailing. What is the cost for 1 h of each activity? (1 point) Responses Parasailing: $39; Horseback riding: $48 Parasailing: $39; Horseback riding: $48 Parasailing: $51; Horseback riding: $30 Parasailing: $51; Horseback riding: $30 Parasailing: $27; Horseback riding: $46 Parasailing: $27; Horseback riding: $46 Parasailing: $63; Horseback riding: $24
Let's assume the cost for 1 hour of horseback riding is x, and the cost for 1 hour of parasailing is y.
From the first package, we have the equation:
3x + 2y = 192
From the second package, we have the equation:
2x + 3y = 213
To solve this system of equations, we can multiply the first equation by 2 and the second equation by 3 to eliminate x:
6x + 4y = 384
6x + 9y = 639
Subtracting the first equation from the second equation:
5y = 255
y = 51
Substituting y = 51 into the first equation:
3x + 2(51) = 192
3x + 102 = 192
3x = 90
x = 30
So, the cost for 1 hour of horseback riding is $30, and the cost for 1 hour of parasailing is $51.
Therefore, the answer is: Parasailing: $51; Horseback riding: $30