SOLUTION: A jacket and a shirt originally sold for $80 and $40, respectively. During a sale Chris bought the $80 jacket at a 40% discount and the $40 shirt at a 55% discount. The total amou

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A jacket and a shirt originally sold for $80 and $40, respectively. During a sale Chris bought the $80 jacket at a 40% discount and the $40 shirt at a 55% discount. The total amou      Log On


   

Question 285525: A jacket and a shirt originally sold for $80 and $40, respectively. During a
sale Chris bought the $80 jacket at a 40% discount and the $40 shirt at a 55% discount. The total amount saved was what percent of the total of the original prices?
a 45% b 47 1/2% c 50% d 79 1/6% e 95%
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
jacket = $80 originally.
shirt = $40 originally.

Total price for jacket and shirt was $120 originally.

Jacket was bought at 40% discount.
This means that the jacket was bought at $80 - .4*$80 = $80 - $32 = $48.

Shirt was bought at 55% discount.
This means that the shirt was bought at $40 - .55*$40 = $40 - $22 = $18.

Jacket and Shirt were both purchased for $48 + $18 = $66.

Total saved was $32 + $22 = $54.

$54 / $120 = .45 * 100% = 45% total savings over the original price.