SOLUTION: I need help I don't know how to set it up. Don't know what to do. This problem is from texbook. Fill 10 gallons of premium gas and a small gas can with 2 gallons of regular gas. Y

Algebra ->  Matrices-and-determiminant -> SOLUTION: I need help I don't know how to set it up. Don't know what to do. This problem is from texbook. Fill 10 gallons of premium gas and a small gas can with 2 gallons of regular gas. Y      Log On


   

Question 76542: I need help I don't know how to set it up. Don't know what to do. This problem is from texbook.
Fill 10 gallons of premium gas and a small gas can with 2 gallons of regular gas. You pay $13.56. The price of premium gas is 12 cents more per gallon than theprice per gallon for regular gas.
regular
2 gal. can
premium
10 gal. for car
= $13.56
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
SINCE YOU HAVE 2 GAL. OF REGULAR THAT MEANS YOU HAVE 8 GAL. OF PREMIUM GAS.
LET X BE THE PRICE OF THE PREMIUM GAS & (X-.12) THE PRICE FOR THE REGULAR GAS.
13.56=8*X+2(X-.12)
13.56=8X+2X-.24
13.56=10X-.24
10X=13.56+.24
10X=13.80
X=13.80/10
X=1.38 FOR THE PREMIUM GAS
1.38-.12=1.26 FOR THE REGULAR GAS
PROOF
8*1.38+2*1.26=13.56
11.04+2.52=13.56
13.56=13.56