Question

Accounting
Goat 0.50 paise
Horse 3.00 Rupees
Elephant 10.00 Rs
Number of animals 100
The sum is 100
Must
How much goat
How much horse
How much elephant
Find

Answer 1

•Given :

The price of goat = 0.50 Rupees

The price of horse = 3.00 Rupees

The price of elephant = 10 Rupees

Total number of animals = 100

To price of all animals = 100 Rupees

•To Find :

Total number of goat,horse,elephant

•Solution :

Let, The number of goat = X

The number of horse = Y

The number of elephant = Z

we know, the total number of animals is 100

so, X+Y+Z = 100......(1)       

and so,we can write,

0.5X + 3Y+ 10Z = 100.....(2)

or, 0.5X+ 0.5Y + 0.5Z= 0.5 × 100

Or,0.5X + 0.5Y+ 0.5Z= 50.....(3)

so, from equation (2) - (3)

(0.5X + 3Y + 10Z ) - (0.5X+0.5Y+0.5Z ) = 100 - 50

Or,2.5Y+ 9.5Z = 50

if, Y=1

then, 9.5Z = 50 - 2.5

or,  9.5Z = 47.5

 or,  Z= 47.5/9.5

So, Number of elephant Z=5

And number of horse Y=1

and from (1)

  X+ 1 + 5 = 100    

Or,X = 100 - 6 

Or, X= 94

So, number of goat = 94

number of the horse = 1

and number of elephant = 5