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nikklg [1K]
3 years ago
13

Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the

legs of all his animals and realizes he has a total of 118 legs. How many chickens does the farmer have?
Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

21 pieces of chickens.

Step-by-step explanation:

Given:

The farmer has a total of 40 animals. ( cows and chicken )

He counts the legs of all his animals and realizes he has a total of 118 legs.

Question asked:

How many chickens does the farmer have ?

Solution:

Let number of chickens = x

Then  number of cows = 40-x

Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :

<u>Total number of legs = Number of legs having chickens + Number of legs having cows</u>

118 = 2x+4(40-x)\\118=2x+160-4x

118=-2x+160

Subtracting both sides by 160

-42=-2x

By adding both sides by minus

42 = 2x\\

By dividing both sides by 2

x =21

Hence, farmer have 21 pieces of chickens.

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The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.

Answer:

The equivalent expressions are;

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Step-by-step explanation:

The two leftover expressions are given as;

2(4x + 1) and 6(a + b)

In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.

Thus simply means expanding or collecting like times to make it clearer.

Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.

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2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

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Similarly,

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Thus;

The equivalent expressions are;

8a + 2 and 6a + 6b

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