Question

Jason has $315 in the bank and takes out $30 each week. Brad has $90 in the bank and adds $15 to it each week. In how many weeks will the amounts in their accounts be equal?

Answer 1

5 weeks

Explanation:

In order to solve this problem, let's represent the number of weeks as
`x`.

Jason takes out $30 each week, so the amount in his account after
`x` weeks can be expressed as:

`\large 315 - 30x`

Brad adds $15 to his account each week, so the amount in his account after
`x` weeks can be expressed as:

`\large 90 + 15x`

In order to find out when the amounts in their accounts will be equal, we need to set the expressions equal to each other and solve for
`x`.

`\large 315 - 30x = 90 + 15x`

Simplifying the equation gives:

`\large45x = 225`

Dividing both sides by 45:

`\large x = 5`

`\therefore` The amounts in their accounts will be equal after 5 weeks.