Christiana and marlena opened their first savings accounts on the same day. christiana opened her account with $45 and plans to deposit $10 every month. marlena opened her account with $35 and plans to deposit $15 every month. after how many months will their two accounts have the same amount of money? what will that amount be?

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

step-by-step explanation: