Tigers!

Algebra Level 2

At a certain time in a tiger park, the number of heads and the number of legs of tiger and human visitors were counted and it was found that there were 39 heads and 132 legs. Find the number of tigers

27 18 22 15

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Zee Ell
Oct 1, 2016

If we assume, that all humans have 2 legs and all tigers have 4 legs (no missing limbs), then we can determine the number of tigers by calculating the number of legs as if all visitors were humans:

39 × 2 = 78

Now, the number of "extra" legs:

132 - 78 = 54

Since each tiger has 2 more legs than any of the human visitors. the number of tigers in the park is:

54 ÷ 2 = 27 54 ÷ 2 = \boxed {27}

V = v i s i t o r s V=visitors and T = t i g e r s T=tigers

Note that a visitor has 1 head and 2 feet while a tiger has 1 head and 4 feet.

V + T = 39 V+T=39 \implies 1 \boxed{1}

2 V + 4 T = 132 2V+4T=132 \implies 2 \boxed{2}

From 1 \boxed{1} , V = 39 T V=39-T , substitute this in 2 \boxed{2} , we have

2 ( 39 T ) + 4 T = 132 2(39-T)+4T=132

78 2 T + 4 T = 132 78-2T+4T=132

2 T = 54 2T=54

T = 27 \boxed{T=27}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...