Question

You have $122 in a savings account and save $12 per week. Your friend has $92 in a savings account and saves $17 per week. Write and solve an equation to determine how many weeks it will take for you and your friend to have the same balance? (Hint: Set you and your friend equal to each other.)

Answer 1

x = # of weeks

y = total amount of money

Your savings account: $122 + $12x = y

Your friend's savings account: $92 + $17x = y

As the question suggests, we need to set both equations equal to each other.

$122 + $12x = $92 + $17x

Subtract $92 from both sides and subtract $12x from both sides.

$30 = $5x

Divide both sides by $5

6 = x

It will take 6 weeks for you and your friend to have the same balance.