Question

A torch and a battery cost £2.50 altogether.The torch costs £1.50 more than the battery.What fraction of the total price is the torch?

Answer 1

4/5 fraction of the total price is the torch.

Step-by-step explanation:

Let the cost of a torch be £“T” and the cost of a battery be £“B”.

It is given that, the total cost of a torch and a battery = £2.50, therefore,  

Equation 1: T + B = 2.50

Also given that, the cost of the torch is £1.50 more than that of the battery, therefore,

Equation 2: T = 1.50 + B ⇒ T – B = 1.50

Now, adding eq. (1) & (2), we get

T + B = 2.50

T – B = 1.50

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   2T = 4

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T = £2 ← cost of a torch

Therefore,  

The fraction of the cost of the torch to the total price of both torch & battery is given by,

= $\frac{2}{2.50}$

= $\frac{4}{5}$

Thus, $\frac{4}{5}$ of the total price is the cost of the torch.

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Answer 2

Answer:

4/5

Step-by-step expla