Mindy and Georgie will have the same amount saved after 7 months.
Step-by-step explanation:
In this problem, Mindy already has $20 saved and plans to save $8 each month. Georgie has no money saved yet but plans to save $5 each month.
We can find out if the girls will ever have the same amount saved by setting up an equation.
Let's use x to represent the number of months it will take for the girls to have the same amount saved.
For Mindy, her total savings after x months will be 20 + 8x.
For Georgie, her total savings after x months will be 0 + 5x.
We can set up the equation: 20 + 8x = 0 + 5x
Solving the equation, we get 3x = 20. Dividing both sides by 3, x = 20/3 = 6.67.
Since x represents the number of months, we round up to the nearest whole number. Therefore, it will take 7 months for Mindy and Georgie to have the same amount saved.