<PRE><B>Question 132951</B>
($ are understood)
Let x=per gallon cost of regular
Total cost of regular=5x
Then x+0.16=per gallon cost of premium
Total cost of premium=7(x+0.16)

Now we are told that total cost of regular plus total cost of premium equals 29.44, so our equation to solve:

5x+7(x+0.16)=29.44  get rid of parens
5x+7x+1.12=29.44 subtract 1.12 from each side
5x+7x+1.12-1.12=29.44-1.12  collect like terms

12x=28.32  divide both sides by 12

x=$2.36 per gal-------------for regular

x+0.16=2.36+0.16=$2.52 per gal------------for premium

CK
5*2.36+7*2.52=29.44
11.80+17.64=29.44
29.44=29.44

Hope this helps---ptaylor



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