Posted by **Jen** on Wednesday, March 23, 2011 at 7:31pm.

Milan's gas tank is 1/5 full. After he buys 6 gallons of gas, it is 7/10 full. How many gallons can Milan's tank hold?

- math -
**jai**, Wednesday, March 23, 2011 at 9:36pm
let x = number of gallons the when tank is full

according to first statement, initially the tank is 1/5 full. thus we can write it as (1/5)x

according to second statement, he bought 6 gallons, thus we add 6 to the initial amount, and it becomes 7/10 full or (7/10)x

rewriting using equations:

(1/5)x + 6 = (7/10)x

solving for x,, first we multiply both sides of the equation by 10 to get rid of denominators and deal with whole numbers:

10*(1/5)*x + 6*10 = 10*(7/10)*x

2x + 60 = 7x

60 = 5x

x = 12 gallons

hope this helps~ :)

## Answer this Question

## Related Questions

- math - Justin's gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 ...
- math - Josh's gas tank is 1/5 full. After buying 7 gallons it is 7/10 full. How ...
- math - The gas tank in Micheal's car can hold 18.0 gallons. If the tank ...
- Math - A gas tank is 1/4 full. Abby adds 4 gallons and now it is 5/8 full. How ...
- Math - It took 6.5 gallons of gas to fill the tank of the family car. If the ...
- algebra - while driving a car you realize that you only have one eighth gas ...
- math - 1. Jina purchased a prepaid phone card for $15. Long distance calls cost ...
- math - suppose that the gas tank of a car holds 12 gallons and that the car uses...
- maths - 1)a linear function is represented by f(x)=2x+7 which of the following ...
- math - the gas tank of your car holds 21 gallons. It is 1/3 full. How many ...

More Related Questions