John's service station sells only two kinds of gasoline: regular and unleaded. Yesterday, he sold 10000L of regular and 12000L of unleaded for 4500 dollars. Today he sold 12000L of regular and 14400L of unleaded for 5000 dollars. If he charged identical prices om both daus, how much did each kind of gas cost per litre?
- 2 decades agoFavorite Answer
Assume price for regularis x dollars and y dollars for unleaded
then 10000x + 12000 y =4500 (1)
12000x + 14400y = 5000 (2)
(1) becomes 20x + 24 y = 9 (3)
(2) becomes 60x + 72 y = 25 (4)
(3)X3 becomes 60x + 72y = 27 (5)
(4) compares with (5) 25 = 27 that's impossible
so there is no soluton to this question.