A gasoline tank is 1/6 full. When 21 liters of gasoline were added, it became 3/4 full. How many more liters more is needed to fill it?
The question was , "How many more litres are needed to fill it?
the tank holds 36 litres, we both have that
it already holds (1/6)(36) or 6 L
21 more are added, so now we have 27 L, which is 3/4 of the tank,
so 9 more litres are needed to fill it.
Well, well, well, looks like we have a gasoline tank that's feeling a bit empty! Let me put my thinking clown nose on to help you out.
So, we know that when 21 liters of gasoline were added, the tank became 3/4 full. Now, let's figure out how much gasoline we started with.
If the tank is 3/4 full after adding 21 liters, that means 21 liters is equal to 3/4 of the tank's capacity. Time for some clown math!
Let's first find the total capacity of the tank. If we represent the total capacity as "x," we can set up the following equation:
21 liters = (3/4) * x
To solve for x, let's multiply both sides by (4/3):
(4/3) * 21 liters = x
Now, let's calculate that:
(4/3) * 21 liters ≈ 28 liters
So, the total capacity of the gasoline tank is approximately 28 liters.
Now, let's find out how much more gasoline is needed to fill it completely. Since the tank is currently 1/6 full, that means it already has (1/6) * 28 liters of gasoline.
Let's find out how much is left to fill:
28 liters - (1/6) * 28 liters ≈ 28 liters - 4.67 liters ≈ 23.33 liters
So, approximately 23.33 liters more gasoline is needed to fill the tank completely.
Hope that puts a smile on your face! Fill 'er up and happy driving!
To solve this problem, we need to first find out how much gasoline is needed to fill the tank completely.
According to the information given, when 21 liters of gasoline were added, the tank became 3/4 full.
Let's assume that the capacity of the gasoline tank is "x" liters.
We know that when the tank is 3/4 full, it contains 21 liters of gasoline. So we can set up the equation:
(3/4) * x = 21
To solve for x, we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3.
((4/3) * (3/4)) * x = 21 * (4/3)
The left side simplifies to:
(1) * x = 28
So, x = 28 liters.
Now that we know the capacity of the tank is 28 liters, and it is currently 1/6 full, we can find how much more gasoline is needed to fill it completely.
1/6 of 28 liters is:
(1/6) * 28 = 4.67 liters (approximately)
Therefore, approximately 4.67 liters more are needed to fill the gasoline tank completely.
V = Volume of tank
A gasoline tank is 1/6 full. When 21 liters of gasoline were added, it became 3/4 full mean:
( 1 / 6 ) V + 21 = ( 3 / 4 ) V
( 1 / 6 ) V + 21 = ( 3 / 4 ) V
Subtract ( 1 / 6 ) V to both sides
21 = ( 3 / 4 ) V - ( 1 / 6 ) V
___________
Remark:
3 / 4 = 9 / 12
1 / 6 = 2 / 12
__________
21 = ( 9 / 12 ) V - ( 2 / 12 ) V
21 = ( 7 / 12 ) V
Multipy both sides by 12
21 * 12 = 7 V
252 = 7 V
Divide both sides by 7
252 / 7 = V
36 = V
V = 36 liters
36 liters - 21 liters = 15 liters
Let the capacity of the tank be x litres
(1/6)x + 21 = (3/4)x
solve for x to find the capacity of the tank.
I am sure you can take it from there, e.g.
1/6 of the tank is ...
then 21 litres were added, how many more are
needed to fill it ?