Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​​ALGEBRA eXAMPLES

Gasoline mixture problem

11/12/2017

 
Peter decides to mix grades of gasoline in his truck. He puts in 5 gallons of regular and 10 gallons of premium for a total cost of $31.05 If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?
x = cost of 5 gallons of regular 
x + 0.18 = cost of 10 gallons of premium
  {premium is $0.18 more than regular per gallon} 

5x + 10(x + 0.18) = 31.05   {number of gallons times price per gallon equals total price} 
5x + 10x + 1.8 = 31.05   {used distributive property} 
15x + 1.8 = 31.05   {combined like terms} 
15x = 29.25   {subtracted 1.8 from each side} 
x = 1.95   {divided each side by 15} 
x + 0.18 = 2.13   {substituted 1.95, in for x, into x + 0.18} 

$1.95 is the price per gallon of 5 gallons of regular 
$2.13 is the price per gallon of 10 gallons of premium


Ask Algebra House
​

Comments are closed.

    Ask a Question





    Examples

    All
    All Word Problems
    Basic Math
    Combining Like Terms
    Distributive Property
    Equations Of Lines
    Exponents
    Factoring
    Foil Method
    Functions
    Geometry
    Graphing
    Imaginary Numbers
    Inequalities
    Linear Equations
    Literal Equations
    Miscellaneous
    Percents
    Pythagorean Theorem
    Quadratic Equations
    Radicals
    Simplifying
    Slopes And Intercepts
    Solving Equations
    System Of Equations
    Word Problems Age
    Word Problems Distance
    Word Problems Geometry
    Word Problems Integers
    Word Problems Misc.
    Word Problems Mixture
    Word Problems Money
    Word Problems Number



Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip