Question

PLZ HELP, ASAP!
A hotel offers two activity pages. One costs $192 and includes 3 hours of horseback riding and 2 hours of paasailing. The second costs $213 and includes 2 hours of horsebac riding and 3 hours of parasailing. What is the cost for 1 hour of each activity?
A. Parasailing: $39; Horseback Riding: $48
B. Parasailing: $51; Horseback Riding: $30
C. Parasailing: $27; Horseback Riding: $46
D. Parasailing: $63; Horseback Riding: $24

Answer 1

Greetings!

Answer:

Horseback riding costs $30 and parasailing costs $51, so B.

Step-by-step explanation:

This is answered by using simultaneous equations, let x be parasailing and y be horseback riding.

3y + 2x = 192

2y + 3x = 213

Multiply each equation by the number in front of the y of the other equation:

2 x (3y + 2x = 192)

3 x (2y + 3x = 213)

Which results in:

6y + 4x = 384

6y + 9x = 639

Simply minus the two equations to get rid of the y:

6y - 6y = 0

4x - 9x = -5x

384 - 639 = -255

The negatives cancel out which give a result:

5x = 255

x = $\frac{255}{5}$

x = 51

So parasailing costs $51

Now you can simply plug this value into one of the equations:

3y + (2 x 51) = 192

192 - 102 = 3y

90 = 3y

y = $\frac{90}{3}$

y = 30

So horseback riding costs $30!

Hope this helps.