Question

Venkatesh has some ducks and sheeps.If total number of animal heads is 81 and the total number of animal feet are 268 how many sheep does venkatesh have shortch

Answer 1

Venkatesh has 53 sheeps

Solution:

Let venkatesh has "x ducks and "y" sheeps

Total number of animal heads is 81

x + y = 81

x = 81 - y ------- eqn 1

The total number of animal feet are 268

We know, duck has 2 feet and sheeps has 4 feet

Thus,

2x + 4y = 268

Substitute eqn 1

2(81 - y) + 4y = 268

162 - 2y + 4y = 268

2y = 106

y = 53

Thus venkatesh has 53 sheeps

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Answer 2

Given :

• Venkatesh has some ducks and sheeps. If total number of animal heads is 81 and the total number of animal feet are 268.

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Find :

• How many sheep does venkatesh have?

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Concept :

• From the question talking the number of cases and writing the equations step by step we can solve the question easily.

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Solution :

• Let "x, y" be ducks and sheep's.
• We know that, sum of ducks and sheep's = 81 that's (x + y = 81).
• The number of total number of animals 268.
• As we know there are two animals and in the question and we have to find the number of feets of the animals.

1. Ducks = 2 feet.
2. Sheeps 4 feet.

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Step-by-step equation :

→ x + y = 81

→ 2x + 4y = 268

→ 2 (81 - y) + 4y = 268

• 2 (81 - y) = 162 - 2y + 4y

→ 2y = 106

→ y = 106/2

→ y = 53

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Therefore, Venkatesh has 53 sheeps.