How many 🐍🐍 did I count?

[ParanoidUser]

At a recent visit to the reptile house at the local animal sanctuary, I counted a total of 27 heads and 70 feet.

I was counting 🐍🐍, 🦎🦎, and 🧑‍🤝‍🧑and I know that there were exactly twice as many lizards as people.

[ParanoidUser]

@L9us / @frantizek / @Ben74x / @Yell0wflash, keep those gears turning and let's see who can outsmart the question! 🚀

[peterbaccaro]

We have 27 heads so:

[a] Snakes + Lizards + People = 27 Heads

Lizards have 4 feet and people have 2 feet and there are 7 feet so:

[b] 4 * Lizards + 2 * People = 70 Feet

We also know that Lizards have twice as many legs as Lizards so:

[c] Lizard = 2 * People

Using the above gives:

4 * 2 * People + 2 * People = 70

So:

10 People = 70

People = 7

Using People = 7 in [b] gives:

4 * Lizards + 14 = 70

4 * Lizards = 56

Lizards = 14

Using Lizards = 14 and People = 7 in [a] gives:

Snakes + 14 + 7 = 27

Snakes = 6

So there were 6 Snakes, 7 People and 14 Lizards and therefore the answer is 6 Snakes.

[Beargruug]

First, I realized that there were twice as many lizards as people. So, if we represent the number of people as "P," then the number of lizards would be "2P" (twice as many). I also assigned "S" to the number of snakes.

Next, using the information we had, I came up with three equations:

1. S + L + P = 27 (since the total number of heads is 27).
2. 2S + 4L + 2P = 70 (for the total number of feet).
3. L = 2P (as lizards were twice the number of people).

I then solved the equations step-by-step. I first substituted the value of "L" from the third equation into the first one, which gave me "S + 3P = 27."

After that, I substituted the value of "L" from the third equation into the second one, which resulted in "2S + 10P = 70."

With this information, I continued solving for "P" by subtracting the two equations: "2S + 10P - (S + 3P) = 70 - 27," which gave me "S + 7P = 43."

Finally, I found the value of "P" (the number of people) by solving "S + 7P = 43" as "P = 4."

Phew! Now that I knew the number of people (P), I also determined the number of lizards (L) by multiplying P by 2, which gave me "L = 8."

The last step was to find the number of snakes (S). I simply substituted the value of "P" back into the first equation: "S + 3P = 27," which resulted in "S = 15."

So, to sum it up, there were 15 snakes, 8 lizards, and 4 people in the reptile house at the animal sanctuary. It was quite an adventure figuring it out, but I'm glad I did!

[ParanoidUser]

2S + 4L + 2P = 70 (for the total number of feet).

[CelioAmaral]

x = the number of snakes

y = the number of lizards

z = the number of people

The 27 heads gives us:

[1] x + y + z = 27

The 70 feet gives us:

[2] 4y + 2z = 70

We also know that:

[3] y = 2z

Using [3] in [2] gives:

4 x 2z + 2z = 70

So:

10z = 70

z = 70/10

z = 7

Using z = 7 in [2] gives:

4y + 2z = 70

4y + (2x7) = 70

4y + 14 = 70

   4y = 56

   y = 56/4

   y = 14

Using y = 14 and z = 7 in [1] gives:

x + y + z = 27

x + 14 + 7 = 27

x + 14 + 7 = 27

x + 21 = 27

x = 27 - 21

       x = 6

x = 6 snakes

y = 14 lizards

z = 7 people

There were 6 snakes counted.

[thuongtruong1009]

Let's solve this puzzle step by step:

Let's represent the number of snakes as "S," the number of lizards as "L," and the number of people as "P."

1. The total number of heads counted: 27
   Each snake has one head, each lizard has one head, and each person has one head. So we can write the equation:
   S + L + P = 27

2. The total number of feet counted: 70
   Each snake has no feet (as they slither), each lizard has four feet, and each person has two feet. So we can write the equation:
   4L + 2P = 70

3. There were twice as many lizards as people:
   L = 2P

Now we can use these equations to find the values of S, L, and P:

From equation 3, we can substitute L with 2P in equation 1:
S + 2P + P = 27
S + 3P = 27
S = 27 - 3P

Now, substitute the value of S in terms of P into equation 2:
4L + 2P = 70
4(2P) + 2P = 70
8P + 2P = 70
10P = 70
P = 7

Now that we know the value of P (people), we can find L (lizards):
L = 2P
L = 2 * 7
L = 14

Finally, we can find S (snakes):
S = 27 - 3P
S = 27 - 3 * 7
S = 27 - 21
S = 6

So, you counted 6 🐍🐍 at the reptile house.

[Ben74x]

Let's denote:

P = the number of people,
L = the number of lizards, and
S = the number of snakes.

From your statements, we can set up the following equations:

P + L + S = 27 (Because there are 27 heads, and each creature contributes one head)

2P = L (There are twice as many lizards as people)

2P + 4L + 0S = 70 (Each person has 2 feet, each lizard has 4 feet, and snakes have 0 feet)

We can substitute equation 2) into the other equations, which gives us:

1') P + 2P + S = 27 (Substitute 2P for L in equation 1)), and
3') 2P + 4*2P = 70 (Substitute 2P for L in equation 3)).

Solving equation 1') gives 3P + S = 27, and from this we can express S = 27 - 3P.

Solving equation 3') gives 2P + 8P = 70, which simplifies to 10P = 70, so P = 7.

Substituting P = 7 into the equation for S gives S = 27 - 3*7 = 27 - 21 = 6.

So, you saw 6 snakes, 7 people, and 14 lizards.

The answer is 6 🐍 🐍