In order to make a bowl you need 5 pieces of 1/2 inch board that measures 6 inches by 6 inches. How many bowls can you make from a sheet of wood that measures 4 feet by 8 feet?

25

Step-by-step explanation:

Each of the 5 pieces that goes into making a bowl is 1/2 ft square, so has an area of ...

A = s² = (1/2 ft) ² = 1/4 ft²

Since there are 5 pieces required, the board area required for a bowl is ...

area for bowl = 5 * 1/4 ft² = 5/4 ft²

The 4 ft by 8 ft sheet of wood has an area of ...

A = LW = (8 ft) (4 ft) = 32 ft²

__

We can solve this proportion to find the number of bowls:

1 bowl / (5/4 ft²) = x bowls / (32 ft²)

Multiplying by 32 ft², we get ...

x bowls = (1 bowl) (32 ft²) / (5/4 ft²) = (4/5·32) bowls = 25.6 bowls

You can make 25 bowls from a 4 ft by 8 ft sheet of wood.