Question

Henry and his brother each start a savings account. Henry begins with $200 and deposits $25 each month. His brother begins with $150 and deposits $35 each month. After how many months will the two brothers have the same amount in their savings account.

Answer 1

After 5 months, the two brothers will have the same amount in their savings account.

Step-by-step explanation:

To find out when the two brothers will have the same amount in their savings account, we can set up an equation. Let's say after x months, Henry will have $200 + $25x and his brother will have $150 + $35x. We want to find the value of x when the two amounts are equal.

200 + 25x = 150 + 35x

Subtracting 25x from both sides gives:

200 = 150 + 10x

Subtracting 150 from both sides gives:

50 = 10x

Dividing both sides by 10 gives:

x = 5

Therefore, after 5 months, the two brothers will have the same amount in their savings account.