Answer: She has 17 ostriches.
Step-by-step explanation:
We know , ostrich has 2 legs where as llama has 4 legs.
Let x be the number of ostriches and y be the number of llamas.
Then, as per given , we have the following linear equations :
[tex]2x+4y=98---(i)\\\\ x+y=33---(ii)[/tex]
Multiply 2 to eqn (ii) , we get
[tex]2x+2y=66---(iii)\\[/tex]
Subtract (iii) from (i) , we get
[tex]2y=32\\\Rightarrow\ y=16[/tex]
Put this in (ii) , we get [tex]x+16=33\Rightarrow\ x=17[/tex]
Hence, there are 17 ostriches and 16 llamas.
