5-B-1: The Magic of Proportions
July 1, 2009
slgm08
Vacation Days
I just started a new job and was very curious as to how many vacation days I had accrued so far. I went to my boss and he told me that after 9 months of employment, I had earned 6 days of vacation time. I was very excited and want to take a trip 2 years from now. How many vacation days will I have then?
The first thing I need to do is convert my 2 years to months, which would be 24 months.
Set up proportion: 
n days = 6 days
24 months 9 months
Cross Multiply and Divide:
n x 9 = 24 x 6
9n = 144
n = 16 days
I will have 16 days of vacation in 2 years. Beach, here I come!!!!
Driving to Work
If a trip between work and home takes me 15 minutes each way, how much time will I spend in a 5-day work week traveling back and forth to work?
Before setting up my proportion, I first need to figure out how many minutes I travel in one day. 15 x 2 = 30 minutes.
Set up proportion: 
n minutes = 30 minutes
5 days 1 day
Cross Multiply and Divide:
n x 1 = 5 x 30
1n = 150
n = 150 minutes
I travel 150 minutes each week to work, which is 2 ½ hours. Wow, that’s a lot of driving!!
Entry Filed under: Proportions
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1.
Judy | July 3, 2009 at 5:17 pm
Shea,
Your real-world examples for the use of proportions are excellent. Students will be able to relate to them and see the value of this concept.
Judy
2.
Andrea | July 6, 2009 at 11:27 pm
Shea,
I really liked your real world proportion problems. I also liked how you made the students have to convert and explained the solutions very well.
Andrea