The ratio of the length to width of the official German flag is 5:3. Sandra is making 12 German flags for a culture show. Each flag she makes has a length of 20 centimeters. IT takes her 4 hours to make all the flags. What is the width of each flag and the average amount of time it takes Sandra to make each flag?
l : w = 5x : 3x
if 5x = 20
x = 4
then the width is 3x = 12
If she makes 12 flags in 4 hours, then she makes
3 flags/hour
To find the width of each flag, we can use the given ratio of length to width, which is 5:3. Since the length of each flag is given as 20 centimeters, we can set up the following proportion to solve for the width:
Length (L) 20 cm
------------ = --------
Width (W) ? cm
5 3
Cross-multiplying, we get:
5W = 20 * 3
5W = 60
Dividing both sides of the equation by 5, we find:
W = 60/5
W = 12
So, the width of each German flag is 12 centimeters.
Now, to find the average amount of time Sandra takes to make each flag, we divide the total time it takes her (4 hours) by the number of flags she makes (12):
Average time = Total time / Number of flags
Average time = 4 hours / 12 flags
Average time = 1/3 hour per flag
Therefore, the average amount of time it takes Sandra to make each flag is 1/3 hour or approximately 20 minutes.