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 =

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.