Question

1 poi (6) Jason's part-time job pays him $105 a week. If he has already saved $325, 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

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

`A=325+105w`

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

`900=325+105w`

To solve for "w" we first subtract 325 on both sides:

`\begin{gathered} 900-325=325-325+105w \\ 575=105w \end{gathered}`

Now we divide both sides by 105

`(575)/(105)=(105w)/(105)`

Solving the operations:

`5.5=w`

Therefore, it takes Jason 5.5 weeks to get to $900