bobs gas tank is 1/2 full. after he buys 6 gallons of gas, it is 7/10 full. how many gallons can bobs tank hold?
G(.5)+6=.7G
solve for G
.2G=6
G=30 gallons
To find out how many gallons Bob's gas tank can hold, we need to use the information given in the question. Let's break it down step by step:
First, we know that when Bob's gas tank is 1/2 full, it is equivalent to 7/10 when he buys 6 gallons of gas.
So, we need to find out how much gas is needed to fill the tank from 1/2 to 7/10.
To do this, we need to find the difference between 7/10 and 1/2.
The difference between 7/10 and 1/2 is (7/10 - 1/2).
To subtract these fractions, we need to find a common denominator, which in this case is 10.
(7/10) - (1/2) = (7/10) - (5/10) = 2/10 = 1/5.
Therefore, Bob needs 1/5 of his gas tank capacity to go from 1/2 full to 7/10 full.
Now, given that 6 gallons of gas filled this fraction of the tank, we can set up an equation to calculate the tank's capacity.
Let's assume the tank's capacity is represented by "x" gallons.
1/5 of the tank's capacity (x) is equal to 6 gallons.
So, the equation becomes: (1/5) * x = 6.
To find x, we can solve this equation by multiplying both sides by 5:
1 * x = 6 * 5,
x = 30.
Therefore, Bob's gas tank can hold 30 gallons.