We have an original price of $129.50.
Then, the price is discounted 40%. After that, the price is discounted 60%.
We can think of this discount in steps:
1) the first discount of 40% means that the new price is 100%-40% = 60% of the original price:
[tex]P^{\prime}=(\frac{100-40}{100})\cdot P=0.6\cdot P[/tex]
2) The second discount of 60% means that the new price is 100%-60% = 40% of the already discounted price:
[tex]P^{\prime\prime}=(\frac{100-60}{100})P^{\prime}=0.4\cdot P^{\prime}=0.4\cdot(0.6P)=0.24\cdot P[/tex]
Then, the final price after the two discounts is 24% of the original price:
[tex]P^{\prime\prime}=0.24\cdot P=0.24\cdot129.50=31.08[/tex]
Answer: The drone is not free. The final price of the drone is $31.08.
