A group of people went to a restaurant. Each person chose one starter and one main course.

starter

main course

soup

lasagne

prawns

curry

the number of people who chose soup: the number of people who chose prawns = 2:3

Of those who chose soup,

the number of people who chose lasagne : the number of people who chose curry = 5:3

Of those who chose prawns,

the number of people who chose lasagne : the number of people who chose curry = 1:5

What fraction of the people chose curry?

The fraction of the people who choose curry =

Step-by-step explanation:

As given,

Starter              Main course

Soup                    Lasagna

Prawns                 Curry

The number of people who choose soup: the number of people who choose prawns = 2 : 3

Of those who chose soup,

The number of people who choose Lasagna : the number of people who chose curry = 5 : 3

Of those who chose prawns,

The number of people who chose Lasagna : the number of people who chose curry = 1 : 5

Let total number of people goes to restaurant = 5x

People who choose soup = ×5x = 2x

People who choose prawns = ×5x = 3x

Now, given,

Of those who choose soup,

The number of people who choose Lasagna : the number of people who chose curry = 5 : 3

So,

People who choose Lasagna after choosing soup = ×2x =

People who choose Curry after choosing soup = ×2x =

Also, given,

Of those who chose prawns,

The number of people who chose Lasagna : the number of people who chose curry = 1 : 5

So,

People who choose Lasagna after choosing prawns = ×3x =

People who choose Curry after choosing prawns = ×3x =

So,

Total number of people who choose curry = + =

So ,

The fraction of the people who choose curry =

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step-by-step explanation: s