To solve this problem, we need to determine the value of x, which represents the number of gyms that the global gym has.
Let's break down the information given:
Number of bikes per gym: 10
Cost per bike: $700
Number of treadmills per gym: 5
Cost per treadmill: 1.5 * $700
Number of elliptical machines per gym: 5
Cost per elliptical machine: 2 * (1.5 * $700)
Total cost to replace everything: $455,000
We can set up the equation as follows:
(Number of bikes per gym * Cost per bike + Number of treadmills per gym * Cost per treadmill + Number of elliptical machines per gym * Cost per elliptical machine) * Number of gyms = Total cost to replace everything
(10 * $700 + 5 * 1.5 * $700 + 5 * 2 * 1.5 * $700) * x = $455,000
Let's simplify and solve for x:
($7,000 + 5 * 1.5 * $700 + 5 * 2 * 1.5 * $700) * x = $455,000
($7,000 + 5 * 1.5 * $700 + 5 * 2 * 1.5 * $700) * x = $455,000
($7,000 + 5 * $1,050 + 5 * 2 * $1,050) * x = $455,000
($7,000 + $5,250 + $10,500) * x = $455,000
$22,750 * x = $455,000
To isolate x, we divide both sides of the equation by $22,750:
$22,750 * x / $22,750 = $455,000 / $22,750
x = 20
The value of x is 20.
#### 20
The answer is: 20
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
A global gym decides to replace all of its cardio machines.  They have x gyms.  Each gym has 10 bikes, 5 treadmills, and 5 elliptical machines.  The bikes cost $700 each.  The treadmills cost 50% more than that.  The elliptical machines are twice as expensive as the treadmills. It costs 455000 to replace everything.

### Answer:
