Question

The expenses of a lunch are partly constant and partly propotional to the number of guests. The expenses amount to Rs 65 for 7 guests and Rs 97 for 11 guests. Find the expenses for 18 guests

Answer 1

let lunch expense of each guest is =x
let constant expense of lunch is. =y

we get
y+7x=65
also
y+11x=97

by solving above equations we get
x=8
y=9

for 18 guests
it is
=y+18x
=9+18(8)
=9+144
=153

Answer 2

Answer:

The expenses for 18 guests y + 18x = 153.

Step-by-step explanation:

Given:

The expenditures for lunch exist partly constant and partly proportional to the number of guests. The expenses amount to Rs 65 for 7 guests and Rs 97 for 11 guests.

To find:

the expenses for 18 guests

Step 1

The lunch expense of each guest = x

The constant expense of lunch = y

Let y + 7x = 65 and y+11x=97

Simplifying the above equation, we get

x = 8 and y = 9

Step 2

To estimate the expenses for 18 guests = y + 18x

Substituting the values of x and y, then we get

y + 18x = 9 + 18(8)

= 9 + 144

= 153

Therefore, the expenses for 18 guests y + 18x = 153.

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