Thread: Fraction problems

Hey i was looking for help on these problems; how would i go about finding the solutions to them both?

1.If a storage tank is holding 450 liters when it is three quarters full, how much will it contain when it is two thirds full?.

And

2.three people P,Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. determine a) the total of the fund. b)the contributions of P and Q.

Thanks

1)

Let the total capacity of the tank be .

When it's full it can contain 450 liters.

Now lets find its total capacity. If then

So when it's full, there will be liters.

2)



P provies of total which is , now the remaining is .

Q provides of the remainder, so that is the amount Q gives.

R gives 8£, it's equal to .

( )

I substracted the amount Q provided ( ) from the total fund left ( ) after P's contribution.

So we know that 8£ of the total amount. 60£ is the total amount.

From here we can find P's contribution which is 36£ and Q's, 16£

Thanks mate, that made a lot more sense then the way i was going about it.