Math help Gasoline Algebra?

Question

the gasiline gauge in a van initally read 1/8 full. When 15 gallons of gas were added to the tank the gauge read 3/4 full How many more gallons are needed to fill the tank?

Answer 1

3/4-1/8=5/8
15 gallon=5/8 th part of the gasoline tnk
Therefore capacity of the gasoline tank is 15X8/5=24 gallon.After filling 3/4 th part of the tank it is still 1-3/4=1/4 part empty
Therefore it requires 24X1/4 or 6 gallons more to fill the tank.

Answer 2

Let X be the number of gallons in a full tank of gas:

1/8 X + 15 = 3/4 x
Multiply through by 8:
x + 120 = 6x
Subtract x from each side:
120 = 5x
Divide both sides by 5:
24 = x
Thus, the tank holds 24 gallons when full

Answer 3

subtract 1/8 from 3/4. you get 5/8. so 15 gallons is 5/8 of the tank.

15=5/8x

divide each side by 5/8. you get 24. so the tank holds twenty four gallons.

24*1/8 (because you had that originally)=3

24-3=21

you then added 15 gallons.

21-15=6

so you'll need six more gallons

Answer 4

final reading=3/4 of the tank
initial reading=1/8 odf the tank
difference=3/4-1/8
=6/8-1/8=5/8
5/8 th of the tank=15 gallons
so full tank=15multiplied by the reciprocal of 5/8
=15(8/5)
=24gallon

Answer 5

Let x = the total capacity of the tank.

Based on the information we have, we know that we started with an eighth of a tank (.125x), added 15 gallons, and wound up with three quarters of a tank (.75x). Therefore, our equation looks like this:

.125x+15=.75x

Simplify by subtracting .125x from both sides:

.125x-.125x+15=.75x=.125x
15=.625x

Now divide both sides by .625:

15/.625=.625x/.625
24=x

Now we know the tank holds 24 gallons, and is three fourths full. To get the answer, divide 24 by 4, which equals 6. 6 more gallons will fill the tank.

Answer 6

3/4 = 6/8
6/8 - 1/8 = 5/8
15 is 5/8 of x
15 / 5 = 3
3= 1/8 of x
3 x 8 = 24
15 = 5/8 of 24
2/8 = 6
6 gal

Answer 7

.75 - .125 =.625.
.625 = 15 gallons
.625 divided by 15 = ,042
you need 3.54 more gallons to fill the tank