Hi I need help to find the answer for the following question this is need to be solving by using the Diophantine equation
Find the number of men, woman and children in a company of 20 persons if together they pay 20 coins, each man paying 3, each woman 2, and each child 1/2.
Hello, dhammikai!
Let: = number of men, = number of women, = number of children.Find the number of men, woman and children in a company of 20 persons
if together they pay 20 coins, each man paying 3, each woman 2, and each child .
There are 20 people: . .[1]
They paid a total of 20 coins: . .[2]
Subtract [1] from [2]: .
Since is an integer, must be a multiple of 5.
There are two solutions: .