SOLUTION: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 10% ethanol.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 10% ethanol.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 934398: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 10% ethanol.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = gallons of 12% ethanol/gasoline = gallons of 88% gasoline/ethanol
y = gallons of 10% ethanol/gasoline = gallons of 90% gasoline/ethanol
---
88x + 100*2000 = 90y
y = x + 2000
---
put the system of linear equations into standard form
---
88x + 100*2000 = 90y
y = x + 2000
---
88x - 90y = -200000
x - y = -2000
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer:
x = gallons of 12% ethanol/gasoline = 10000
y = gallons of 10% ethanol/gasoline = 12000
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
Send and receive free text messages online:
https://sooeet.com