Answer to Question #107212 in Algebra for Lijo

Question

A man has Rs 100 in his hand. He should buy a plate, a glass and a spoon with this rupee.

All three must buy 100 more.

But not more than Rs. 100 or less.

You can get 5 / - per plate, 3 / - per glass and 40 spoon / - for 1 / -.

If so how many plates?

How much glass?

How much spoon is it?

Answer 1

Let the number of plate be x, then number of glass be denoted by y and the number of spoon be denoted by z

as price of each plate is 5 , price of each glass is 3 and price of spoon is 1

then we can write an equation that

5x+3y+z=100

then we can obtain numerous solutions

(plate,glass,spoon) such that z is divisible by 40:

(x,y,z)=(1,5,80),

(x,y,z)=(9,5,40),

(x,y,z)=(6,10,40),

(x,y,z)=(3,15,40).