Problema Solution
The Brookhaven community center purchased computer equipment at a net cost of $1248.28 after a series discount of 5/12/12. Find the list price.
Answer provided by our tutors
let x = the list price
after the series of discounts 5/12/12 we have
first discount 5% = 0.05 of x:
x - 0.05x = 0.95*x
second discount 12% = 0.12 of 0.95*x
0.95x - 0.12*0.95x = 0.95*0.88*x
third discount 12% = 0.12 of 0.95*0.88*x
0.95*0.88*x - 0.12*0.95*0.88*x = 0.95*(0.88)^2*x
and
0.95*(0.88)^2*x = 1248.28
x = 1248.28 / (0.95*(0.88)^2)
x = $1696.77
The list price is $1696.77.