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After spending #5/6# of my pocket money I have £2.20 remaining? How much did I have originally?

Answer 1

See a solution process below:

We can rewrite this problem as:

£2.20 is #1/6# of what?

Because you spent #5/6# of your money you would have #1/6# left. Therefore #1/6# of your money is the £2.20 you have left over.

In Algebraic terms we can write:

#£2.20 = 1/6 xx m#

Now, multiply each side of the equation by #color(red)(6)# to find out how much money you had originally:

#color(red)(6) xx £2.20 = color(red)(6) xx 1/6 xx m#

#£13.20 = color(red)(6)/6 xx m#

#£13.20 = 1 xx m#

#£13.20 = m#

#m = £13.20#

You originally had £13.20

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.