SOLUTION: A family has two cars. the first car has a fuel efficiency of 35 mile per gallon of gas and the second has fuel efficiency of 30 miles per gallon of gas. during one particular week

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A family has two cars. the first car has a fuel efficiency of 35 mile per gallon of gas and the second has fuel efficiency of 30 miles per gallon of gas. during one particular week      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1168686: A family has two cars. the first car has a fuel efficiency of 35 mile per gallon of gas and the second has fuel efficiency of 30 miles per gallon of gas. during one particular week, the two care went a combined total of 1775 miles, for a total gas consumption of 55 gallon how many gallons were consumed by each of the two cars that week?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Fuel efficiencey in miles per gallon;
Fuel volume in gallons;
Distance in miles.
                    FUEL EFFIC.     VOL.          DIST.
FIRSTCAR              35             g            35g
SECCAR                30            55-g          30(55-g)
TOTALS                              55            1775

highlight_green%2835g%2B30%2855-g%29=1775%29--------solve for g.


--
--
7g%2B6%2855-g%29=355
g%2B6%2A55=355
g=355-6%2A55
highlight%28g=25%29---------------gallons for the first car

highlight%2830%29--------------gallons for the second car