Question

Shawna and Kai both works at the same pet store. On Monday, Shawna counts 52 birds and cats in the store. For the same animals Kai counts 138 legs. How many birds and cats are in the pet store?

Answer 1

Answer:

35 birds 17 cars

Step-by-step explanation:

x+y = 52 ----a

2x+4y= 138

x+2y= 69 ----b

using a and b

52-y+2y=69

y=17

put y's value in a

x=35

Answer 2

Given:

• Total number of pets = 52
• Total number of legs= 138

Need to Find:

• The number of cats and birds?

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$\huge{\underline{\underline{\red{SOLUTION:-}}}}$

Let the number of cats be = x

The number of birds = y

Now according to the question,

Total number of birds and cats = 52

$\pink{\boxed{\boxed{=>x+y=\:52}}}$

or we can say,

2x+2y=104---i (multiplying both side by 2)

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One cat has 4legs

thus

The total number of legs that the x cats can have

= 4×x

$\green{\boxed{\bold{=4x}}}$

One bird has 2legs

thus

y birds will have

=2× y legs

$\green{\boxed{\bold{=2y}}}$

Total number of legs is given as 138

thus

$\pink{\boxed{\boxed{4x+2y=138----ii}}}$

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subtracting i from ii we get,

4x+2y-(2x+2y)= 138 - 104

=> 4x+2y-2x-2y = 34

=> 2x=34

=> x= 17

now from i,

2x+2y= 104

=> x+y= 52

=> 17+y=52

=> y= 35

$\red{\boxed{\boxed{Number\:of\:Cats=\:17}}}$

$\red{\boxed{\boxed{Number\:of\:Birds=\:35}}}$