Question 252839: An airplane begins a flight with a total of 36.0 gal. of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank, 37.5% of the fuel is used. If the total fuel used is 11.2 gal., find the amounts x and y stored in each tank.
Please help
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An airplane begins a flight with a total of 36.0 gal. of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank, 37.5% of the fuel is used. If the total fuel used is 11.2 gal., find the amounts x and y stored in each tank.
------
Start with 36 gal in 2 tanks.
Use 11.2 gallons from both tanks.
-----------------------
Equation:
0.25x + 0.375y = 11.2
x+y = 36
---------------------------
Modify the equations:
250x + 375y = 11200
250x + 250y = 36*250
--------------------------
Subtract the 2nd Eq. from the 1st and solve for "y":
125y = 2200
y = 17.6 gallons (amount in the 2nd tank)
---
Since x + y = 36, x = 36-17.6 = 18.4 gallons (amount in the 1st tank)
===================
Cheers,
Stan H.
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! 36-11.2=24.8 not used and still in tanks
x+y=36
the amount in each tank is based on 36 not 11.2
the two amounts used add up to 11.2
.25*(x)+.375*(y)=11.2
x=18.4
y=36-18.4=17.6
the tanks held 18.4 and 17.6 gallons
check
.25*18.4+.375*17.6=11.2
amounts used
4.6 gal.+6.6 gals =11.2 gals
ok
|
|
|
