Question

You have ​$55 in your bank account. Each week you deposit $8 from your allowance and $15 from your paycheck. The equation b=55+(15+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $190 in your bank account?

Answer 1

After 6 weeks from now you will have $190 in your bank account

Solution:

Given that,

You have ​$55 in your bank account

Each week you deposit $8 from your allowance and $15 from your paycheck

The equation that gives the amount b in your account after w weeks is:

b = 55 + (15 + 8)w

How many weeks from now will you have $190 in your bank account ?

b = 190

w = ?

Therefore,

190 = 55 + (15 + 8) w

190 = 55 + 23w

23w = 190 - 55

23w = 135

Divide both sides by 23

$w = 5.869 \approx 6$

Thus after 6 weeks from now you will have $190 in your bank account