Devin paid $30 to be a member of the Fox Lake Gym. When he takes the boxing class, it costs him $2. Jared is not a member of the Gym, and it costs him $5 for the same class. How many classes would it take for Devin's total cost to equal Jared's total cost?
30 + 2x = 5x
Well, it seems like Jared is getting quite the "punch" in his wallet with those boxing classes! Let's do a little math to figure out how many classes it would take for Devin's cost to equal Jared's cost.
Devin pays an additional $2 for each boxing class, while Jared pays $5 for each class. So, we need to find out how many classes it would take for Devin to catch up to Jared's total cost.
Let's set up an equation to solve this humorous problem:
Devin's total cost = Jared's total cost
Now, let's plug in the numbers we have:
30 + 2x = 5x
Here, x represents the number of classes that both Devin and Jared attend. We want to find the value of x that makes the equation true.
By subtracting 2x from both sides, we get:
30 = 3x
To solve for x, we divide both sides of the equation by 3:
x = 10
Voilà! It looks like it would take 10 classes for Devin's total cost to equal Jared's total cost. So, it seems Devin will have to throw some "jabs" to even things out!
To find out how many classes it would take for Devin's total cost to equal Jared's total cost, we need to set up an equation.
Let's say the number of classes Devin takes is x.
Devin's total cost for x classes is: $30 (membership fee) + $2 (cost per class) * x (number of classes) = $30 + $2x.
Jared's total cost for x classes is: $5 (cost per class) * x (number of classes) = $5x.
Now, we can set up the equation:
$30 + $2x = $5x.
To solve for x, let's subtract $2x from both sides of the equation:
$30 = $5x - $2x.
Combining like terms gives us:
$30 = $3x.
Now, let's divide both sides of the equation by $3 to isolate x:
$30 / $3 = x.
x = 10.
Therefore, it would take 10 classes for Devin's total cost to equal Jared's total cost.
To solve this problem, we need to find out how many classes Devin would need to take for his total cost to equal Jared's total cost.
Let's start by finding Devin's cost per class. Devin paid $30 to become a member of the gym, which means this amount covers more than just one class. So, we need to subtract this membership fee from Devin's total cost to determine how much he spends per class.
Devin's cost per class = Total amount paid - Membership fee
Devin's cost per class = $30 - $2 (cost of a boxing class)
Devin's cost per class = $28
Now, we know that Jared pays $5 per class. To determine how many classes it would take for Devin's total cost to equal Jared's total cost, we need to set up an equation.
Let x represent the number of classes:
Devin's total cost = Devin's cost per class * Number of classes
Jared's total cost = Jared's cost per class * Number of classes
Since we want to find the number of classes where their total costs are equal, we can set up the following equation:
Devin's cost per class * Number of classes = Jared's cost per class * Number of classes
Plugging in the values, we have:
$28 * x = $5 * x
Now, we can solve for x:
28x = 5x
First, let's subtract 5x from both sides:
28x - 5x = 0
Simplifying:
23x = 0
To isolate x, we divide by 23 on both sides:
x = 0 / 23
x = 0
Therefore, it would take 0 classes for Devin's total cost to equal Jared's total cost. This means that Devin's total cost would never be the same as Jared's since Devin's cost per class is $28 (after subtracting the membership fee) and Jared's cost per class is a fixed $5.