Atorch 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 its simplest form.

4/5 fraction of the total price is the torch

Step-by-step explanation:

Let the cost of battery be a and cost of torch be (a+1.50)

ATQ, a+a+1.50=2.50

or, 2a=2.50-1.50

or, a=1/2

or, a=0.50

So, cost of battery=0.50 and cost of torch=0.50+1.50=2

Now,

fraction of the total price is the torch=2/2.50

=4/5

4/5

Step-by-step explanation:

let x= torch

let y= battery

given

x+ y = 2.5(1)

&

x= 1.5+ y

x-y=1.5(2)

by solving one and 2 we get

x= 2

and y= 0.5

so proportion is 2/2.5

= 4/5

The fraction of the cost of the torch and the total price is .

Step-by-step 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 = =

80% of the total price is torch.

Step-by-step explanation:

Let

t=cost of torch

b=cost of battery

A torch and battery cost £2.50 altogether.

t+b=2.5

The torch costs £1.50 more than the battery.

t-b=1.5

Keep in mind:

When equations of the form

a+b = Sum

a-b = Diff

then the solution is immediately

a=(Sum+Difference)/2

b=(Sum-Difference)/2

and apply the rule,

t=(2.5+1.5)/2 = £2

b=(2.5-1.5)/2 = £1

Torch / total

= 2/2.5

= 80%

4/5

Step-by-step explanation:

t + b = 2.50

t = b+1.50

Substitute

b+1.50+ b = 2.50

Combine like terms

2b + 1.50=2.50

2b =1

b = .5

t = b+ 1.5

t = .5+ 1.5

t = 2

The fraction of the total price

t/2.50

2/2.50

20/25

4/5

Step-by-step explanation:

2.50-1.50=1.00

1.00 is the price of the battery. Since the torch cost 1.50 more than the battery we just subtract what we know is how much more the torch cost from the total cost. While this has no meaning to the question I just wanted to put this in here.

1.50/2.50=0.6

First we divide 1.50 by 2.50 to get it as a decimal. Which gives us 0.6. now we put 6/10 then try to simplify it.

6/2=3

10/2=5

3/5 is our answer