Answer:
5 Months and Tina's saving after 5 months from either of the given options would be $250
Step-by-step explanation:
Option 1
Tina saves $200 away initially and save $10 every month
Let Tina save for X month, then her total saving after X month would be =
$200 + $10X
Option 2
Tina saves $100 away initially and save $30 every month
Let Tina save for X month, then her total saving after X month would be =
$100 + $30X
The savings from two options must be equal at the end of X months.
$200 + $10X = $100 + $30X
$200 - $100 = $30X - $10X
$100 = $20X
X = $100/$20
= 5
So Tina will save equal amount from both the options if she saves for 5 months.
Her saving after 5 months through both the options
Option 1 : $200 + $10X = $200 + $10 x 5 = $250
Option 2 : $100 + $30X = $100 + $30 x 5 = $250