If the new technology innovation improves the production by 10%, they are increasing the amount of cars made by 10%.
Originally, 120 cars were made per day.
10% of 120 is 12.
Since the amount of cars made per day was increased by 12, we can add 12 to 120 to get 132 cars made per day (as the new unit rate).
The question asks how many cars can be produced in 5 days (after the car production increase). We can get the answer by multiplying our new daily amount of cars by 5: 132 times 5.
132 times 5 = 660
So, 660 cars can be produced in the factory in 5 days.