Emily has a coupon for 20% off her purchase. she finds a backpack on the discount rack. it's original price is $60 but is 30% off. emily thinks 30% & 20 % make 50% so the backpack will be $30. is emily correct?

Lets find the final discount percentage, to do this we need to know the final price of the backpack.

Initial price is 60, let's apply the first 30 % discount:



Now  we apply the 20 % discount to 42:



So the final price of the backpack is 33.6, this is 56 % of 60.
The final discount was of 44 % off, not 50 %.