Question

Mr. Fred owns a restaurant and decides to do some renovation. To enhance the security, he decides to build a 12m long, 13m high and 10m thick wall using bricks of dimensions 3m x 2m x 1m. How many bricks will be required by Mr. Fred to build the wall? Give explanation

Answer 1

Answer:

Let

x=# of chickens

y=# of goats

Each chicken and goat has 1 head.

Each chicken has 2 legs. Each goat has 4 legs.

This results in the following system of equations:

x+y=43

2x+4y=108

Solve for x in first equation:

x=43-y

Substitute x in other equation to get:

2x+4y=108

2(43-y)+4y=108

86-2y+4y=108

2y=22

y=11

x+y=43

x+11=43

x=32

So 11 goats and 32 chickens.