Answer:
8 weeks
Explanation:
We are to find the number of weeks that they will have the same account balance.
Let the number of weeks be x.
Megan started by putting $80 in her account, and she will deposit an additional $15 each week. This means after x weeks, she will have:
80 + 15x
Noah made no initial deposit, but he will add $25 more each week. After x weeks, he will have:
25x
To find the number of weeks for their amounts to be the same, we equate their amounts to one another:
80 + 15x = 25x
Collexting like terms and solving for x:
80 = 25x - 15x
80 = 10x
=> x = 80 / 10 = 8 weeks
After 8 weeks, the money in their accounts will be the same.