Answer:
Suppose you and your friend both have some money. You have 10 dollars more than your friend. If you both save the same amount of money x for 13 weeks and 10 weeks respectively, you will end up having the same amount of money. How much money does each of you save per week?
Explanation:
First, we’ll isolate the variable x on one side of the equation. We can do this by subtracting 10x from both sides of the equation:
13x + 10 - 10x = 10x + 15 - 10x
3x + 10 = 15
Next, we’ll subtract 10 from both sides of the equation to further isolate the variable x:
3x + 10 - 10 = 15 - 10
3x = 5
Finally, we’ll divide both sides of the equation by 3 to solve for x:
(3x) / 3 = 5 / 3
x = 5/3
So the solution to the equation 13x + 10 = 10x + 15 is x = 5/3. This means that each of you saves 5/3 dollars per week.
As we found earlier, the solution to this equation is x = 5/3. This means that each of you saves 5/3 dollars per week.
So after 13 weeks, you will have saved 13 * (5/3) = 65/3 dollars. And after 10 weeks, your friend will have saved 10 * (5/3) = 50/3 dollars.
Since you started with 10 dollars more than your friend, the total amount of money you both have at the end is (65/3) + 10 = 95/3 dollars.