Josh's gas tank is 1/5 full. After buying 7 gallons it is 7/10 full. How many gallons can his gas tank hold?
7 gallons = 7/10 tank - 2/10 tank
7 gallons = 5/10 tank = 1/2 tank
14 gallons = whole tank
14
Josh's gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Josh tank hold?
To find out how many gallons Josh's gas tank can hold, we need to use the information provided in the question.
First, we know that when the gas tank is 1/5 full, it is equivalent to 7/10 full after buying 7 gallons.
Let's set up an equation to represent this:
1/5 + 7 = 7/10
To combine the fractions, we need to make their denominators the same. We can do this by finding a common denominator. In this case, the common denominator is 10:
2/10 + 7/10 = 7/10
Now we have:
9/10 = 7/10
To isolate the variable (the number of gallons the tank can hold), we'll subtract 7/10 from both sides of the equation:
9/10 - 7/10 = 7/10 - 7/10
2/10 = 0
So, we have:
2/10 = 0
This tells us that the tank can hold 2/10 or 0.2 of a gallon.
To convert this fraction into a decimal, divide the numerator by the denominator:
2 ÷ 10 = 0.2
Therefore, Josh's gas tank can hold 0.2 (or 1/5) of a gallon.