Final answer:
Joseph and Anthony will have the same amount of money after 5 weeks.
Step-by-step explanation:
To determine when Joseph and Anthony will have the same amount of money, we need to set up an equation. Let's assume Anthony starts with $0 in his savings account.
Joseph starts with $50 and Anthony starts with $0. Every week, Joseph saves $10 and Anthony saves $20. We need to find out how many weeks it takes for their savings to be equal.
We can represent Joseph’s savings using the equation: J = 50 + 10w, where J is the amount of Joseph's savings and w is the number of weeks.
We can represent Anthony’s savings using the equation: A = 0 + 20w, where A is the amount of Anthony's savings and w is the number of weeks.
To find the number of weeks when their savings are equal, we need to set J and A equal to each other and solve for w:
50 + 10w = 0 + 20w
We can simplify this equation to:
50 = 20w - 10w
50 = 10w
Dividing both sides of the equation by 10, we get:
5 = w
Therefore, Joseph and Anthony will have the same amount of money after 5 weeks.