Question

Lara has $1,425 in her bank account. Write and solve an equation to show how much money she started with if that amount reflects a 14% increase on her original amount.

Answer 1

The amount that Lara has in her bank account is $1,425.

Lets say that Lara started off with 'x' dollars in her bank account.

The current balance of her bank account reflects the amount which is increased by 14% of the amount that she initially had.

We assumed that initially Lara had '$x', and there is an increase in the amount by 14%.

So,

14% of the original amount is
`(14)/(100) * x`

Now, as per the conditions of the question:

`x+(14)/(100) * x=1425`

Solving for 'x' we get:

`x+0.14x=1425`

`1.14x=1425`

`x=(1425)/(1.14) =1250`

Therefore, the original amount that Lara had in her bank account was $1,250.