Monday, July 27, 2009

Math with Red Hair?

One school in Ceterville has 300 students. 6 of those students have red hair. If there are 4500 students in Centerville how many have red hair?



Math with Red Hair?

You want to make a proportion, and this is how you do it:



(6 students / 300 students) = (x students / 4,500 students)



You have to pretend those are up-down fractions. I can't exactly type them into the computer, can I?



So anyways, now you cross multiply and get:



300x = 27,000



Solve for x.



x = 90



So if there were 4,500 students, 90 of them would have red hair.



Math with Red Hair?

You have no way of knowing, but if you were to guess, you might say:



4500/x = 300/6



4500/x = 50



4500 = 50x



4500/50 = x



90 = x



So, assuming red hair was evenly distributed, 90 students would have red hair.



Math with Red Hair?

The one school has 300/4500 = 1/15 of the students in the whole town. If that one school is typical, then there would be about 6 x 15 = 90 redheads in all.



Math with Red Hair?

ASSUMING that the proportion of students with red hair in that school matches that of the general population, then 6/300 or 1/50 of the population has red hair, and there are 4500 total students, this means that 4500*1/50 or 90 students have red hair.



Math with Red Hair?

The answer is 90 beacuse



4500/300=15



15 times 6 = 90

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