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 color 1 h of each activity? (1 point) Parasailing: $39; Horseback riding: $48 Parasailing: $51; Horseback riding: $30 Parasailing: $27; Horseback riding: $46 Parasailing: $63; Horseback riding: $24
I don't mind helping to find answers, but I resent having to provide the questions as well.
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Maybe a future pearson connexus prisoner will benefit from this :'(
To determine the cost of each activity per hour, we need to find the cost per hour of horseback riding and parasailing for both packages.
Let's assume the cost per hour of horseback riding is x dollars, and the cost per hour of parasailing is y dollars.
For the first package, which costs $192, we have:
- 3 hours of horseback riding: 3x dollars
- 2 hours of parasailing: 2y dollars
So, 3x + 2y = 192 ----(equation 1)
For the second package, which costs $213, we have:
- 2 hours of horseback riding: 2x dollars
- 3 hours of parasailing: 3y dollars
So, 2x + 3y = 213 ----(equation 2)
We can solve this system of equations to find the values of x and y.
To eliminate x, we will multiply equation 1 by 2 and equation 2 by 3:
6x + 4y = 384 ----(equation 3)
6x + 9y = 639 ----(equation 4)
Next, subtract equation 3 from equation 4:
(6x + 9y) - (6x + 4y) = 639 - 384
5y = 255
y = 51
Now that we have the value of y, we can substitute it into either equation 1 or equation 2 to find the value of x. Let's use equation 1:
3x + 2(51) = 192
3x + 102 = 192
3x = 90
x = 30
So, the cost per hour of parasailing is $51, and the cost per hour of horseback riding is $30.
Therefore, the answer is:
Parasailing: $51 per hour
Horseback riding: $30 per hour