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? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

A) 4
B) 5
C) 6
D) 7

Answer 1

After 5 months, Henry and his brother will have the same amount in their savings account.

Step-by-step explanation:

To find the number of months it will take for Henry and his brother to have the same amount in their savings account, we can set up an equation to represent the situation.

Let's assume x represents the number of months. For Henry, his savings account can be represented as 200 + 25x. For his brother, his savings account can be represented as 150 + 35x.

We can set up an equation to find when their savings will be equal: 200 + 25x = 150 + 35x. We can now solve for x.

200 + 25x = 150 + 35x
200 - 150 = 35x - 25x
50 = 10x
x = 5

Therefore, after 5 months, Henry and his brother will have the same amount in their savings account. The correct answer is option B) 5.