Final answer:
Mike saved $36 by buying the shirts at the discounted price.
Step-by-step explanation:
To calculate how much money Mike saved by buying the shirts at the discounted price, we need to calculate the total price of the 3 shirts without the discount and the total price of the 3 shirts with the discount. Then, we subtract the total price with the discount from the total price without the discount.
Without the discount, the total price of the 3 shirts is 3 x $45 = $135.
With the discount, Mike bought 1 shirt at regular price ($45) and 2 shirts at 40% off. So, the price of each of these 2 shirts is 40% off $45, which is $45 x 0.4 = $18 off. Therefore, the price of each discounted shirt is $45 - $18 = $27.
The total price of the 3 shirts with the discount is 1 x $45 + 2 x $27 = $45 + $54 = $99.
Therefore, Mike saved $135 - $99 = $36 by buying the shirts at the discounted price.