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Applications (Word Problem)

A rabbit hutc...

Question

A rabbit hutch consists of some hares and some doves. The hutch contains $35$ heads and $98$ feet. Find the number of doves in the hutch

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Solution

$E a c h h a r e h a s a h e a d a n d 4 l e g s w h i l e a d o v e h a s a h e a d a n d 2 l e g s . L e t t h e n o . o f d o v e s b e x . T h e r e f o r e, n u m b e r o f h a r e s = 35 - x E q u a t i n g t h e n u m b e r o f l e g s : 2 x + (35 - x) \times 4 = 98 2 x = 42 x = 21$

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