SOLUTION: Mrs Tan bought a DVD player and a HI-FI set at a discount of 20%. She paid a total of $2800. If the price of the DVD player is 40% that of the HI-FI set, what was the price of the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Mrs Tan bought a DVD player and a HI-FI set at a discount of 20%. She paid a total of $2800. If the price of the DVD player is 40% that of the HI-FI set, what was the price of the       Log On


   



Question 150688: Mrs Tan bought a DVD player and a HI-FI set at a discount of 20%. She paid a total of $2800. If the price of the DVD player is 40% that of the HI-FI set, what was the price of the DVD player before the discount?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Mrs Tan bought a DVD player and a HI-FI set at a discount of 20%. She paid a total of $2800. If the price of the DVD player is 40% that of the HI-FI set, what was the price of the DVD player before the discount?
.
Let x = cost of hi-fi set
then
.40x = cost of dvd player
.
we derive oure equation from: "Mrs Tan bought a DVD player and a HI-FI set at a discount of 20%. She paid a total of $2800."
.80(x + .40x) = 2800
(x + .40x) = 3500
x(1+.40) = 3500
x(1.40) = 3500
x = 3500/1.40
x = $2500(cost of hi-fi set)
.
.40x = .40(2500) = $1000 (cost of dvd)