Respuesta :
Answer:
After 2 months their accounts have same amount of money that is $65.
Step-by-step explanation:
Initial amount Christiana deposits = $45
Amount Christiana deposit  each month = $10
Initial amount Marlena deposits = $35
Amount Marlena deposit  each month = $15
Let x be the number of months after which amount in accounts is same.
Christiana balance in x months = 45 + 10x
Marlena balance in x months = 35 + 15x
After x months their balance becomes equal i.e.
                 45 + 10x = 35 + 15x
dividing both sides by 5
                 9 + 2x = 7 + 3x
                     x = 2
After two months:
Christiana balance  = 45 + 10(2)
                 = $65
Marlena balance = 35 + 15(2)
               = $65
Answer: it will take 2 months for both accounts to have the same amount and the in each account would be $65
Step-by-step explanation:
Let x represent the number of days that it will take the amount in either accounts to be the same.
Let y represent the amount in Christiana's account after x days
Let z represent the amount in Marlena's account after x days
Christiana opened her account with $45 and plans to deposit $10 every month. This means that in x days, the amount in Christiana's account would be
y = 45 + 10x
Marlena opened her account with $35 and plans to deposit $15 every month. This means that in x days, the amount in Marlena's account would be
z = 35 + 15x
To determine the number of months before the amount in both accounts becomes the same, we will equate y to z. It becomes
45 + 10x = 35 + 15x
15x - 10x = 45 - 35
5x = 10
x = 10/5 = 2
The amount would be
45 + 10×2 = 45 + 20 = $65
