Question

Three tanks, a,b and c are used to store oil
tank a contains n litres of oil. tank b contains (n+150) litres of oil tank c is empty oil is pumped from tank a and tank b into tank c 500litres of oil are pumped from tank a into tank c work out the value of n

Answer 1

Hi there,

The above question has some missing information. I have rewritten the question and solved it accordingly for you. Hope this is helpful

Q. Three tanks,A,B,C are used to store oil. Tank A contains 'n' litres of oil. Tank B contains (n+150) litres of oil. Tank C is empty. Oil is pumped from tank A and from tank B into tank C so that all three tanks contain the same amount of oil. 500 litres of oil are pumped from tank A into tank C. Work out the value of 'n'.

Given:

Quantity of oil in Tank A = n litres

Quantity of oil in Tank B = [ n + 150 ] litres

Tank C is empty

Some oil was transferred from A and B to C so that each have same quantity

Quantity of oil transferred from tank A to C is 500 litres

To find:

The value of n

Solution:

Total quantity of oil will be = n + n + 150 = [ 2n + 150 ] litres

Since,

Oil from tank A and tank B is transferred to tank C so that all the 3 tanks contains equal amount of oil

∴ The quantity of oil each tank will contain,

= $\frac{2n\:+\:150}{3}$

= $\frac{2n}{3} \:+\:\frac{150}{3}$

= [ $\frac{2n}{3} \:+\:50$ ] litres

Now, we have been given that the quantity of oil transferred from A to C was 500 litres, so we can form an equation as,

$n \:-\:[\frac{2n}{3} \:+\:50] = 500$

⇒ $\frac{3n\:-2n\:-150}{3} = 500$

⇒ $n - 150 = 500 * 3$

⇒ n = 1500 + 150

⇒ n = 1650 litres

Thus, $\boxed{\bold{The \:value\:of\:n\: is\:1650\:litres.}}$

Let's verify our answer:

Total oil = 1650 + 1650 + 150 = 3450 litres

After transferring, Quantity of oil in each tank = $\frac{3450}{3}$ = 1150 litres

Since 500 litres of oil was transferred from tank A to C

So, subtracting the quantity in A after transferring from the initial quantity in A, we should get the values as 500

i.e., 1650 - 1150 = 500 ← hence our value fro n is correct

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Answer 2

Answer:

1650 L

I hope this helps :)