Question

Diane is saving money to buy a bike that costs $125. She has $60 and will save an additional S5 each week. In how many weeks will she have enough money to buy the bike?

Answer 1

To solve this problem we have to formulate an equation that models it. We identify that our variable is the weeks w and that the initial value we have to gather the total value of the bike is 60, so

`\begin{gathered} w\to\text{week} \\ w_0=60 \\ Bike=125 \\ Increase=5 \end{gathered}`
`Bike=w_0+increase\cdot w`
`125=60+5w`
`\begin{gathered} 125-60=5w \\ 65=5w \\ w=(65)/(5) \\ w=13 \end{gathered}`

In 13 weeks, Diane will have all the money to buy the bike.