Answer: 5 weeks
Explanation:
To find out how many weeks it will take for you and your friend to have the same balance, you can set up an equation based on your savings:
Let's call the number of weeks it takes for you and your friend to have the same balance "w."
For your savings:
Initial amount = $140
Weekly savings = $10
So, your savings can be represented by the equation:
Savings = 140 + 10w
For your friend's savings:
Initial amount = $95
Weekly savings = $19
So, your friend's savings can be represented by the equation:
Savings = 95 + 19w
Now, you want to find when these two savings amounts will be equal, so you can set them equal to each other:
140 + 10w = 95 + 19w
Now, solve for "w":
140 - 95 = 19w - 10w
45 = 9w
Now, divide both sides by 9 to solve for "w":
w = 45 / 9
w = 5
So, it will take 5 weeks for you and your friend to have the same balance in your savings accounts.