SOLUTION: The ratio of jeeps is green to black 5 to 2. If green jeeps consume 800,000 gallons of fuels and black jeeps consume 1,100,000 gallons. If there was 18600,000 gallons of fuel how m

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The ratio of jeeps is green to black 5 to 2. If green jeeps consume 800,000 gallons of fuels and black jeeps consume 1,100,000 gallons. If there was 18600,000 gallons of fuel how m      Log On


   



Question 169469: The ratio of jeeps is green to black 5 to 2. If green jeeps consume 800,000 gallons of fuels and black jeeps consume 1,100,000 gallons. If there was 18600,000 gallons of fuel how many green and black jeeps are there.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
1st condition: By Ratio:
Green%2FBlack=Gn%2FBl=5%2F2
2nd Condition:
800,000(Gn)+1,100,000(Bl)=18,600,000
Via 1st Condtn we get:
Gn=%285%2F2%29Bl ---> 3rd Condition, susbt. in 2nd Contn.:
.
800,000(5/2)Bl+1,100,000(Bl)=18,600,000
2,000,000(Bl)+1,100,000(Bl)=18,600,000
3,100,000(Bl)=18,600,000, Isolate "Black" by dividing both terms 3,100,0000
cross%283100000%29%28Bl%29%2Fcross%283100000%29=cross%2818600000%296%2Fcross%283100000%29
highlight%28Bl=6%29 ---> number of Black jeeps
Via condition 3:
Gn=%285%2F2%29%286%29=30%2F2=highlight%2815=Gn%29 ---> number of Green Jeeps
In doubt? Go back Condtn. 2 (amount of fuel consumed):
800000%2815%29%2B1100000%286%29=18600000
12000000%2B6600000=18600000
18600000=18600000, good
Thank you,
Jojo