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Wednesday, January 30, 2008

Taking Notes

If six boys can fill up six notebooks in six weeks and four girls can fill up four notebooks in four weeks, how many notebooks can a class of twelve boys and twelve girls fill up in twelve weeks?

5 comments:

Anonymous said...

60 b/c 12/6=2, 12*2=24
12/4=3, 12*3=36
36+24=60
60 notebooks in all

CT said...

"six boys can fill up six notebooks in six weeks" => 12 boys can fill up 12 notebooks in 12 weeks

"four girls can fill up four notebooks in four weeks" => 12 girls can fill up 12 notebooks in 12 weeks

Totally, 12+12=24 (notebooks)

Gabriel Garza said...

6 boys - 6 notebooks/6 weeks...which is another way of saying:
6 boys - 1 notebook/ 1 week

same for girls 4 girls 4 notebooks per 4 weeks is the same as 4 girls - 1 notebook per 1 week

so 12 boys can fill up twice as many as 6 boys which is: 12 boys 2 notebooks/week

and 12 girls can fill up three times as much as 4 girls which is: 12 girls 3 notebooks/ week.

How many note books filled in 12 weeks?
12*3+12*4= 60 notebooks

Math Genius 900 said...

The correct answer is 60

6b=(6n)/(6w)
6b=n/w
b=n/(6w) <---1 boy can fill 1 notebook in 6 weeks

4g=(4n)/(4w)
4g=n/w
g=n/(4w) <---1 girl cn fill 1 notebook in 4 weeks

So, 12 boys in 12 weeks + 12 girls in 12 weeks can be written as

(12b)(12w) + (12g)(12w)
(144n/(6)) + (144n/(4))
24n + 36n
60n <--- 60 notebooks can be made total

Anonymous said...

ct said wrong