Question

Anthony sold his used bike and accessories for $405. If he recieved 8 times as much money for the bike as he did for the accessories, find how much money he recieved for the bike.

Answer 1

Let's begin by identifying key information given to us:

Price sold: bike + accessories = $405

If he received 8 times as much money for the bike as he did for the accessories: bike = 8 * the accessories

Let "the accessories" be represented as y, "bike" be represented as x:

x = 8y

`\begin{gathered} x+y=405 \\ x=8y \\ \text{Substituteinto the equation, we have:} \\ 8y+y=405 \\ 9y=405 \\ \text{Divide each side by 9, we have:} \\ y=45 \end{gathered}`

x = 8y

`\begin{gathered} x+y=405 \\ x=8y \\ \text{Substituteinto the equation, we have:} \\ 8y+y=405 \\ 9y=405 \\ \text{Divide each side by 9, we have:} \\ y=45 \end{gathered}`

x = 8y

x = 8 * 45 = $360

Anthony purchased the bike for $360