## 1550.28 – Swerve's Bikes and Skateboards

Swerve, the local bicycle store, bought some used bikes and skateboards to overhaul and re-sell. If they paid an average of $55 per bike and $22 per skateboard, AND if they bought twice as many bikes as skateboards, AND if they spent a total of $660, how many of each did they buy?

## Solution

Let $x$ be the number of skateboards and $2x$ be the number of bikes.

Then Swerve paid $\text{\textdollar}22x$ for the skateboards and $\text{\textdollar}55(2x)$ for the bikes.

And all of that comes out to $660$, thusly:

$\text{\textdollar}22x + \text{\textdollar}55(2x) = \text{\textdollar}22x + \text{\textdollar}110x = \text{\textdollar}132x = \text{\textdollar}660,$

so $x = 5$. That's 5 skateboards and 10 bikes.

Note: for anyone worrying about the "average" price, it just means you can assume they were all the same price and it all comes out OK--$55 for each bike and $22 for each skateboard.