In this scenario, we can create a mathematical representation of Justin's savings plan to determine how many weeks it will take him to reach his goal of $135 for the new game.
Initial Information:
- Starting Amount: $10
- Amount Saved Each Week: $25
- Goal Amount: $135
Steps to Calculate Weeks Needed:
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Determine the Amount Justin Needs to Save:
To find out how much more money Justin needs, we subtract his current amount from his goal: \[ \text{Amount Needed} = \text{Goal Amount} - \text{Starting Amount} \] \[ \text{Amount Needed} = 135 - 10 = 125 \] -
Calculate the Number of Weeks Needed:
Now, we divide the amount Justin needs by the amount he saves each week: \[ \text{Weeks Needed} = \frac{\text{Amount Needed}}{\text{Amount Saved Each Week}} \] \[ \text{Weeks Needed} = \frac{125}{25} = 5 \]
Conclusion:
Justin needs to save for 5 weeks to reach his goal of $135 for the new game. At the end of 5 weeks, he will have saved a total of $125 plus his initial $10, reaching exactly $135.