Derek will pay $625.25 less than the original prize
Step-by-step explanation:
The selling price of the computer=$610
The selling prize is 1/5 of its original prize
Derek has a 10% off coupon
Let the original prize of the computer=x
selling prize=x-x/5
4x/5=610
4x=3050
x=3050/4=762.5
[tex]The\ prize\ at\ which\ Derek\ will\ buy\ the\ computer=x \times 1/5 \times (100-10)/100\\=x\times 1/5 \times 90/100\\=9x/50\\[/tex]
the difference in the original prize and the prize at which Derek bought the computer=x-9x/50
=41x/50
[tex]41 \times 762.5/50\\=$625.25[/tex]
Derek will pay $625.25 less than the original price for the computer.
