SOLUTION: Brandon gets a 40% discount on loose diamonds where he works. The cost of the setting is $250. If he plans to spend at most $1450, then what is the price range(list price) of the d

Question 160949This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA
: Brandon gets a 40% discount on loose diamonds where he works. The cost of the setting is $250. If he plans to spend at most $1450, then what is the price range(list price) of the diamonds that he can afford? This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x= the price range (list price) of the diamonds that he can afford
Now if he gets a 40% discount, then he has to pay 60% (x-0.40x) of the list price for diamonds. So the equation we need to solve is:
0.60x+$250<=$1450 subtract $250 from each side
0.60x+$250-$250<=$1450-$250 collect like terms
0.60x<=$1200 divide each side by 0.60
x<=$2000-----------------------------------price range (list price) that he can afford
CK
if x=$2000 (maximum value of the diamonds that he can afford), then
0.60*$2000+$250=$1450
$1200+$250=$1450
$1450=$1450
Hope this helps----ptaylor
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