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?
Give your answer in the simplest form

Answer 1

The fraction of the cost of the torch and the total price is
`(4)/(5)`.

Explanation:

Given,

The cost of torch and a battery = 2.50

The torch costs 1.50 more than the battery.

To find the fraction of the cost of the torch and the total price.

Let,

The cost of a battery = x

The cost of the torch = x+1.50

According to the problem,

x+1.50+x = 2.50

or, 2x = 1

or, x = 0.50

Hence,

The cost of a battery =0.50

The cost of the torch = 0.50+1.50 = 2.00

The fraction of the cost of the torch and the total price =
`(2)/(2.50)` =
`(4)/(5)`