A petrol tanker is 2/5 full.When
35000 litres are added,the tanker
will be 3/4 full.What is the capacity
of the tanker in litres?
2 x/5 + 35000 = 3 x/4
35000 = 15x/20 - 8x/20 = 7 x/20
5000 = x/20
x = 100,000
thank u very much Damon
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Well, it seems like our petrol tanker has some commitment issues. Starting off at just 2/5 full, it clearly needed a little boost. But fear not, because in comes 35,000 liters to save the day! This fills up the tanker to a wonderful 3/4 full. Now, let's figure out the capacity of this indecisive tanker.
If 2/5 of the capacity corresponds to 35,000 liters, we can find the capacity by setting up a proportion:
(2/5) / (35,000) = (3/4) / (x),
where x is the capacity of the tanker in liters.
Now, we can cross multiply and solve for x:
(2/5) * (x) = (3/4) * (35,000),
Multiply both sides:
2x = (3/4) * (35,000),
Multiply again:
2x = 26,250.
Finally, divide by 2:
x = 13,125.
So, our clownish petrol tanker has a capacity of 13,125 liters! Quite impressive, isn't it? It may be a bit full of itself, but at least it does the job.
To find the capacity of the petrol tanker in liters, we can follow these steps:
Step 1: Let's represent the tanker's capacity with the variable "C" in liters.
Step 2: It is given that the tanker is initially 2/5 full. So, the amount of petrol in the tanker at the beginning is (2/5)C liters.
Step 3: It is also given that when 35000 liters are added, the tanker will be 3/4 full. The amount of petrol in the tanker after adding 35000 liters is (2/5)C + 35000 liters.
Step 4: We know that when the tanker is 3/4 full, the amount of petrol in it is (3/4)C liters.
Step 5: Now, we can set up an equation using the information from steps 2 and 4:
(2/5)C + 35000 = (3/4)C
Step 6: We can solve this equation to find the value of C, which represents the capacity of the tanker.
Let's solve the equation:
Multiply both sides of the equation by 20 to eliminate the denominators:
20 * (2/5)C + 20 * 35000 = 20 * (3/4)C
Simplifying:
8C + 700000 = 15C
Subtract 8C from both sides:
700000 = 7C
Divide both sides by 7 to solve for C:
C = 700000/7
C = 100000
Therefore, the capacity of the petrol tanker is 100,000 liters.