Thursday

July 31, 2014

July 31, 2014

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

- math -
**jai**, Wednesday, March 23, 2011 at 9:36pmlet 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~ :)

**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 - 1. Jina purchased a prepaid phone card for $15. Long distance calls cost ...

algebra - while driving a car you realize that you only have one eighth gas ...

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 ...

math - the gas tank in bob's car holds at most 15 gallons. He has already filled...