Question

A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.

Answer 1

Answer:

$\frac{1}{10}$

Step-by-step explanation:

Let $t$ represent the cost of the torch and $b$ represent the cost of the battery.

The torch and a battery cost £2.50 altogether.

$\Rightarrow t+b=2.50$

The torch costs £2.00 more than the battery.

$\Rightarrow t=b+2.00$

We substitute the second equation into the first equation to get;

$\Rightarrow b+2.00+b=2.50$

$\Rightarrow 2b=2.50-2.00$

£2.50

$\Rightarrow 2b=0.50$

$\Rightarrow b=0.25$

The price of the battery is £0.25

We express this as a fraction of the total cost which is £2.50 to get;

$\frac{0.25}{2.5}=\frac{1}{10}$