Question

Jason's part-time job pays him $155 a week. If he has already saved$375, what is the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900?

Answer 1

Let x be the number of weeks. Since Jason earns 155 per week the amount he will have after x weeks is:

`155x`

To this we have to add what he already had:

`155x+375`

Now, we need to know the minimum number of weeks to earn 900, this means that:

`155x+375\ge900`

Solving for x we have:

`\begin{gathered} 155x+375\ge900 \\ 155x\ge900-375 \\ 155x\ge525 \\ x\ge(525)/(155) \\ x\ge(105)/(31) \\ x\ge3.38 \end{gathered}`

Since we need whole weeks, the minimum amount he has to work is four weeks.