A carpenter needs to cut 50 cm pieces of wood for table legs. If he has 5 yards of wood, how many legs can he cut? Does he have any wood left over?
1 yd = 91.44 cm
5 yd = 5 * 91.44 = 457.2 cm
457.2 cm / 50 cm = 9.144 = 9 + 0.144 pieces
9 pieces + 0.144 * 50 cm =
9 pieces + 7.2 cm
To solve this problem, we need to convert the given units of measurement into a consistent system. In this case, we need to convert yards into centimeters.
First, let's convert 5 yards into centimeters. There are 91.44 centimeters in 1 yard, so 5 yards is equal to 5 * 91.44 = 457.2 centimeters.
Next, we need to find out how many 50 cm pieces can be cut from the length of wood. To do this, we divide the total length of wood by the length of each piece.
457.2 cm / 50 cm = 9.144
Since we can't cut a fraction of a piece, the carpenter can cut a maximum of 9 pieces of wood.
Now, let's check if there is any remaining wood. We subtract the total length of the cut pieces from the total length of wood.
457.2 cm - (9 * 50 cm) = 457.2 cm - 450 cm = 7.2 cm
Therefore, the carpenter has 7.2 cm of wood left over, which is not enough to cut another complete piece.
In summary, the carpenter can cut 9 pieces of wood for table legs, with 7.2 cm of wood left over.