Ana saw 7 kitten and 9 chicks at the pet store.
Step-by-step explanation:
Given,
Number of heads = 16
Number of legs = 46
A chick has 2 legs and a kitten has 4.
Let,
x represent the number of kitten and y represent the number of chicks.
According to given statement;
x+y=16 Eqn 1
4x+2y=46 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(x+y=16)\\4x+4y=64\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](4x+4y)-(4x+2y)=64-46\\4x+4y-4x-2y=18\\2y=18[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{18}{2}\\y=9[/tex]
Putting y=9 in Eqn 1
[tex]x+9=16\\x=16-9\\x=7[/tex]
Ana saw 7 kitten and 9 chicks at the pet store.
Keywords: linear equation, elimination method
Learn more about elimination method at:
- brainly.com/question/10480770
- brainly.com/question/10546617
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