Question

Ramon works at an animal farm that raises chickens and cows. He counted a total of 105 heads and 270 legs.

a) 60 chickens and 45 cows
b) 70 chickens and 35 cows
c) 80 chickens and 25 cows
d) 90 chickens and 15 cows

Answer 1

After solving the system of equations based on the total number of heads and legs, Ramon has 75 chickens and 30 cows, which does not match any of the given options.

Step-by-step explanation:

Ramon works at an animal farm and needs to figure out how many chickens and cows he has, given a total of 105 heads and 270 legs. This is a system of linear equations problem that can be solved using simple algebra. Let's define chickens as x and cows as y. From the problem, we have two equations:

• x + y = 105 (since each animal has one head)
• 2x + 4y = 270 (since chickens have 2 legs and cows have 4 legs)

Multiplying the first equation by 2, we get:

• 2x + 2y = 210

Subtracting this equation from the second equation, we get:

• 2y = 60 → y = 30 (cows)

Substituting y in the first equation:

• x + 30 = 105 → x = 75 (chickens)

So, Ramon has 75 chickens and 30 cows, which is not one of the provided options a) to d).