Question

What is the answer to this problem there are 3 rides at an amusement park. You ride the dragster, drop tower and log rides and spend $12.00. The price of the log ride is half the cost of the drop tower. The dragster is triple the cost of the log ride. How much is each ride?

Answer 1

Answer: cost of drop tower = $4

Cost of log ride = $2

Cost of dragster= $6

Step-by-step explanation:

Let x = Cost of drop tower.

Then , cost of log ride = $\dfrac{1}{2}x$

Cost of dragster = $3\times\dfrac12 x=\dfrac32 x$

Total cost = $x+\dfrac12x +\dfrac32 x=\dfrac{2x+x+3x}{2}=\dfrac{6x}{2}=3x$

Given: Total cost of rides = $12

So, 3x = 12

⇒ x= 4  [divide both sides by 3]

So, cost of drop tower = $4

Cost of log ride = $\dfrac12 \times 4=\ 2$

Cost of dragster = $\dfrac32 (4)=\ 6$