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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 :

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

[tex]155x[/tex]

To this we have to add what he already had:

[tex]155x+375[/tex]

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

[tex]155x+375\ge900[/tex]

Solving for x we have:

[tex]\begin{gathered} 155x+375\ge900 \\ 155x\ge900-375 \\ 155x\ge525 \\ x\ge\frac{525}{155} \\ x\ge\frac{105}{31} \\ x\ge3.38 \end{gathered}[/tex]

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

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