if for
1 rs. 1 horse
1 rs. 8 camel
10 rs. 1 elephant
then buy 100 animals in 100 rupees with using all given animals
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Topic - Finding Animals
Given:
- 1 Rs. --- 1 horse
- 1 Rs. --- 8 camels
- 10 Rs. --- 1 elephant
To find: the number of animals in such a way that sum of the number of animals be 100 and the total price be Rs. 100
Solution:
Let,
- Number of horses = x
- Number of elephants = y
- Number of camels = 100 - x - y
Then, we can form an equation for total price:
- x + 10y + (100 - x - y)/8 = 100
- or, 8x + 80y + 100 - x - y = 800
- or, 7x + 79y = 700
We have found one equation with two unknown variables and thus we cannot solve it with a direct method.
We use trial and error to find integral values of x and y:
x y
21 7
Answer:
Horses Camels Elephants
21 72 7
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