Tim buys a torch and a battery. the torch costs eleven times as much as the battery. tim pays with a £10 note and gets £4.84 change. how much does the battery cost? ( show working out)

For this case, the first thing we must do is define variables.

We have then:

t: cost of the torch

b: cost of the battery

The cost of both items in £ is given by:

Therefore, we have the following equation:

Then, we know that:

The torch costs eleven times as much as the battery.

Substituting equation two in the equation we have:

Clearing the value of b we have:

The cost of the battery is 0.43 £

m a t h w a y. c o m

step-by-step explanation: