Karen and sarah have bank accounts. Karen has a starting balance of $125 and is deposited $20 each week. Sarah had a starting balance of $43 and is depositing $37 each week. when will the girls have the same amount of money?
Karen: 20x + 125 and Sarah: 37x + 43; where x = number of weeks
would it be: 20x + 125 = 37x +43?
Yes, you're on the right track. To find out when Karen and Sarah will have the same amount of money, you need to set their respective equations equal to each other.
The equation for Karen's balance is: 20x + 125, where x is the number of weeks.
The equation for Sarah's balance is: 37x + 43.
To find when they will have the same amount of money, set these two equations equal to each other:
20x + 125 = 37x + 43
Now, you can solve this equation to find the value of x, which represents the number of weeks when their balances will be equal.
To solve the equation, begin by getting all the terms with x on one side of the equation:
37x - 20x = 125 - 43
Combine like terms:
17x = 82
Now, divide both sides of the equation by 17 to solve for x:
x = 82/17
This gives you the value of x, which represents the number of weeks it will take for Karen and Sarah to have the same amount of money.