Lin and han's families provide money for their school lunch accounts

Han starts with $100 in his account.  He spends $15 each week on lunches.

Lin starts with $25 in her account and does not spend any of it.  Her family adds $10 each week to her account.

1.At the end of 4 weeks, who has more money in their account?  Explain how you know.
2.After how many weeks will Han and Lin have the same amount of money in their lunch accounts?

1 answer

1. After 4 weeks, Han will have $100 - ($15 * 4) = $40 left in his account.
Lin will have $25 + ($10 * 4) = $25 + $40 = $65 in her account.
Therefore, Lin has more money in her account after 4 weeks.

2. Let's denote the number of weeks as x. After x weeks, Han will have $100 - ($15 * x) in his account.
Lin will have $25 + ($10 * x) in her account.
To find the number of weeks when they have the same amount of money, we can set up an equation:
100 - 15x = 25 + 10x
Combining like terms, we get:
5x = 75
Dividing both sides by 5, we find that x = 15.
Therefore, after 15 weeks, Han and Lin will have the same amount of money in their lunch accounts.