Question

A computer sells for $610. It is now on sale for 1/5 off the original price. Derek has a coupon for an extra 10% off the sale price. To the nearest dollar, how much less than the original price will Derek pay for the computer.

Answer 1

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

$The\ prize\ at\ which\ Derek\ will\ buy\ the\ computer=x \times 1/5 \times (100-10)/100\\=x\times 1/5 \times 90/100\\=9x/50$

the difference in the original prize and the prize at which Derek bought the computer=x-9x/50

=41x/50

$41 \times 762.5/50\\= 625.25$

Derek will pay $625.25 less than the original price for the computer.