Question

Christiana and Marlena opened their first savings accounts on the same day. Christiana opened her account with $55 and plans to deposit $10 every month. Marlena opened her account with $20 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?
The two accounts will have the same amount of money in BLANK months. And, the amount will be $ BLANK

Answer 1

Answer: it will take 4 months for the amount to be the same and the amount would be $95

Step-by-step explanation:

Let x represent the number if months it will take for the two accounts have the same amount of money.

Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be

10x + 55

Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be

15x + 35

For the amount in the accounts to be the same, the number of months would be

15x + 35 = 10x + 55

15x - 10x = 55 - 35

5x = 20

x = 20/5

x = 4

The amount would be

15 × 4 + 35

= 60 + 35

= $95

Answer 2

It will take 4 months for the amount to be the same and the amount would be $95