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?
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~ :)
To solve this problem, we can set up an equation.
Let x be the total capacity of Milan's gas tank in gallons.
Since Milan's gas tank is initially 1/5 full, this means that it contains (1/5) * x gallons.
After he buys 6 gallons of gas, it becomes 7/10 full, which means it contains (7/10) * x gallons.
We can set up the equation as follows:
(1/5) * x + 6 = (7/10) * x
To simplify the equation, we can multiply each term by 10 to clear the denominators:
10 * (1/5) * x + 10 * 6 = 10 * (7/10) * x
2x + 60 = 7x
Now, we can solve for x by subtracting 2x from both sides of the equation:
60 = 5x
Dividing both sides by 5 gives us:
x = 12
Therefore, Milan's gas tank can hold 12 gallons.
To find out how many gallons Milan's gas tank can hold, we can use the information given in the problem.
Let's represent the capacity of Milan's gas tank as 'x' gallons.
According to the problem, Milan's gas tank is initially 1/5 full. This means that he has 1/5 of the total capacity of the tank in his tank.
So, the amount of gas in Milan's tank before refilling is (1/5) * x gallons.
After refilling with 6 gallons of gas, Milan's tank is 7/10 full. This means that he has 7/10 of the total capacity of the tank in his tank.
So, the amount of gas in Milan's tank after refilling is (7/10) * x gallons.
We can set up an equation using the given information:
(1/5) * x + 6 = (7/10) * x
Now, let's solve this equation to find the value of 'x', which represents the capacity of Milan's gas tank.
Multiply both sides of the equation by 10 to eliminate the denominators:
10 * (1/5) * x + 10 * 6 = 10 * (7/10) * x
2x + 60 = 7x
Subtract 2x from both sides of the equation:
60 = 5x
Divide both sides of the equation by 5:
x = 12
Therefore, Milan's gas tank can hold 12 gallons.