Michelle decides to mix grades of gasoline in her truck. She puts in 9 gallons of regular and 11 gallons of premium for a total cost of $62.38. If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?

Hi there! :)

Regular = $3.02, Premium = $3.20

Let x = regular gasoline

x + 0.18 = premium gasoline

Write an algebraic equation to express the scenario:

9(x) + 11(x + 0.18) = 62.38

Distribute:

9x + 11x + 11(0.18) = 62.38

Combine like terms and simplify:

20x + 1.98 = 62.38

Subtract 1.98 from both sides:

20x = 60.4

Divide both sides by 20:

x = $3.02

Substitute this value in the equation for premium gasoline:

(3.02) = .18 = $3.20

The prices of each type of gasoline are:

Regular = $3.02, Premium = $3.20

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0