Question

Georgi has $280 in his savings account and saves an additional $30 each week. Lesly has $100 in her savings account and saves an additional $50 each week. How many weeks will it take for Georgi and Lesly to have the same amount of money? What will be the amount?

a) The equation for Georgi's savings is determined.
b) The equation for Lesly's savings is calculated.
c) The number of weeks required for both to have the same amount is found.
d) The total amount they will have is determined.

Answer 1

It will take 9 weeks for Georgi and Lesly to have the same amount of money, and the amount will be $550.

Step-by-step explanation:

To find the number of weeks it will take for Georgi and Lesly to have the same amount of money, we need to set up an equation. Let's say x represents the number of weeks. Georgi's savings can be represented by the equation: 280 + 30x. Lesly's savings can be represented by the equation: 100 + 50x. We need to find when these two equations are equal: 280 + 30x = 100 + 50x.

To solve this equation, we can subtract 30x from both sides and subtract 100 from both sides to isolate the x terms: 280 - 100 = 50x - 30x. Simplifying, we get: 180 = 20x.

Now, we can divide both sides of the equation by 20 to solve for x: 180/20 = x. The final answer is x = 9. Therefore, it will take 9 weeks for Georgi and Lesly to have the same amount of money. To find the amount, we can substitute x = 9 into either equation. Using the equation for Georgi's savings, we get: Georgi's savings = 280 + 30(9) = 280 + 270 = 550.