My friend bought some skateboards for $195. He sold them for $770 making $25 profit on each skateboard. How many skateboards were there?
number of boards ---- x
cost price per board = 195/x
selling price per board = 770/x
770/x - 195/x = 25
575/x = 25
25x = 575
x = 23
Well, it sounds like your friend knows how to make some serious skateboarding dough! Let's do some calculations here.
If your friend made a $25 profit on each skateboard, we can subtract that from the selling price of $770 to find out the original cost of the skateboards. So, $770 - $25 = $745.
Now, if your friend bought the skateboards for $195 and the selling price was $745, we can figure out how many skateboards were there by dividing the total cost by the cost per skateboard.
$745 / $195 = 3.82
Uh oh! Looks like we have a problem here. Unless your friend managed to slice a skateboard in half and sell the pieces separately (which would be quite impressive), we can't have 3.82 skateboards. So, something seems to be off in the information provided.
Either someone made a miscalculation or there's a magical, fractional skateboard involved. In any case, it seems there's a skateboarding mystery to unravel!
To find out how many skateboards there were, we need to determine the total profit made and divide it by the profit made on each skateboard.
Given that the friend sold the skateboards for $770 and made a $25 profit on each skateboard, we can subtract the profit from the selling price to find the purchase price:
$770 - $25 = $745
Since the friend bought the skateboards for $195, we can now calculate the total profit made:
$745 - $195 = $550
To determine the number of skateboards, we divide the total profit by the profit made on each skateboard:
$550 / $25 = 22
Therefore, there were 22 skateboards.
To find out how many skateboards there were, we need to divide the total profit by the profit per skateboard.
Let's start by calculating the profit made on each skateboard. We know that the profit per skateboard is $25.
Next, we'll calculate the total profit made by multiplying the profit per skateboard by the number of skateboards:
Total profit = $25 x Number of skateboards
We know that the total profit is $770, so we can set up an equation:
$770 = $25 x Number of skateboards
To isolate the variable "Number of skateboards," we'll divide both sides of the equation by $25:
$770 / $25 = Number of skateboards
Number of skateboards ≈ 30.8
Since you can't have a fraction of a skateboard, we can assume there were 31 skateboards in total.
Therefore, there were 31 skateboards.