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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?

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## 5 comments:

60 b/c 12/6=2, 12*2=24

12/4=3, 12*3=36

36+24=60

60 notebooks in all

"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)

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

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 totalct said wrong

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