Answer
Answer B
Work Step by Step
Let x = the cost of a gallon of regular gasoline
y = the cost of a gallon of premium gasoline
The cost of 11 gallons of regular gasoline and 16 gallons of premium gasoline is $\$58.55$.
$11x+16y=58.55$
Premium costs $\$.20$ more per gallon than regular.
$y=x+0.2$
Using substitution:
$11x+16(x+0.2)=58.55$
$11x+16x+3.2=58.55$
$27x=55.35$
$x=2.05$
Solve for y: $y=x+0.2=2.05+0.2=2.25$
The correct answer is B.
