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The cost of 14 gallons of regular gasoline and 10 gallons of premium gasoline is $46.68. Premium costs $0.30 more per gallon than regular. What is the cost per gallon of each type of gasoline?
 Oct 23, 2012
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x = regular gas
y = premium gas

Boricua:

The cost of 14 gallons of regular gasoline and 10 gallons of premium gasoline is $46.68.


equation1:
14*x+10*y = 46.68

Boricua:

Premium costs $0.30 more per gallon than regular


equation2:
y = x + 0.30

[input]solve( 14*x+10*y=46.68, y=x + 0.30 )[/input]

14*x+10*y = 46.68 with y = x + 0.30 is
14*x+10*(x + 0.30) = 46.68
14*x+10x + 3.0 = 46.68 | -3
14*x+10x = 43.68
24x = 43.68 | /24
x = 43.68/24 = 1.82 (regular gas)
y = x + 0.3 = 2.12 (premium gas)

price for premium in germany:
[input]1.69eur/l in $/gal[/input]
 Oct 24, 2012

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