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8 answers

6 boys --- 6 notebooks ----- 6 weeks
12 boys --- 12 notebooks ----- 6 weeks
12 boys --- 24 notebooks ----- 12 weeks

4 girls --- 4 notebooks ----- 4 weeks
12 girls --- 12 notebooks ----- 4 weeks
12 girls --- 36 notebooks ----- 12 weeks

24 + 36 = 60 notebooks

2007-09-10 16:52:13 · answer #1 · answered by gudspeling 7 · 2 0

6 Boys : 6 (units of work) 6 (units of time)
4 Girls: 4(units of work) 4(units of time)

Trick to work/rate/time problems is that typically you will want one thing to remain the same and the other two to change and sometimes you just need to give it some thought as to whether to multiply or divide based upon common sense reasoning. For example, twice the number of people can do twice the units of work in the same time or in half the time, you would only get half the work done if you had the same number of people.

The easies way to start out here is to convert everything to 12 units of time (weeks) because that is what the problem is asking. Therefore if we multiply the amount of time by 2, we can assume that twice as much work can be done for the boys:
6 boys, 12 notebooks, 12 weeks
We want to know how many notebooks 12 boys can fill, so twice the number of boys can fill twice the number of notebooks in the same amount of time:
12 boys, 24 notebooks, 12 weeks
For the girls, we can multiply 4 by 3 to get 12 weeks. Doing so, we have three times as much time so three times as much work can be done:
4 girls, 12 notebooks, 12 weeks
Part of the problem wants to know how many notebooks 12 girls can fill, therefore if we have three times as many girls, we can assume three times as much work will get done
12 girls, 36 notebooks, 12 weeks

Here is what we have thus far:

12girls, 36 notebooks, 12 weeks
12boys, 24 notebooks, 12weeks

To find out how many 12 girls and 12 boys can fill working together for 12 weeks, we can add everything up
12 girls and 12 boys can fill 36+24 notebooks in 12 weeks working together or 60 notebooks.

There used to be a problem that our algebra teacher used to throw at us every now and then to trip us up. It went something like this:

A hen and a half can lay an egg and a half in a day and a half. How many eggs can 3 hens lay in 6 days. It is the same idea how to solve it.

2007-09-11 00:27:09 · answer #2 · answered by cgflann 4 · 0 0

Love to have the notebook sales concession. The 12 boys will fill 4 times as many notebooks (2x number of boys in 2x the time) or 24. The 12 girls will fill 9 times as many notebooks (3x the girlpower in 3x the time). So they fill 36, for a total of 60. Guess girls like to doodle more than boys or pass notes.

2007-09-10 23:54:26 · answer #3 · answered by cattbarf 7 · 3 0

6 boys fill 6 notebooks in 6 weeks
Twice as many boys will fill twice as many notebooks in the same amount of time
12 boys fill 12 notebooks in 6 weeks
The same amount of boys will fill twice as many notebooks in twice the time
12 boys fill 24 notebooks in 12 weeks.

4 girls fill 4 notebooks in 4 weeks
Three times as many girls will fill three times as many notebooks in the same amount of time
12 girls fill 12 notebooks in 4 weeks
The same amount of girls will fill three times as many notebooks in three times the time
12 girls fill 36 notebooks in 12 weeks.

Boys fill 24 notebooks, girls fill 36 notebooks

24 + 36 = 60

60 notebooks in total

2007-09-11 03:50:43 · answer #4 · answered by Tom :: Athier than Thou 6 · 0 0

12 Boy's: 12 Notebook's
12 Girl's: 12 Notebook's

All the number's are the same, thru out the problem, so it's the same for the answe :)

2007-09-10 23:57:45 · answer #5 · answered by Christina 3 · 0 2

196 notebooks in all

2007-09-11 00:01:19 · answer #6 · answered by emtim21 1 · 1 1

boys 12 notebooks girls 12 notebooks

2007-09-10 23:52:01 · answer #7 · answered by Anonymous · 1 3

It's called HOMEWORK and given to you for a reason, love!
But heres a hint .....Boys unknown is (x2) Girls unknown is (x3)

2007-09-10 23:55:51 · answer #8 · answered by Hi Y'all! 4 · 2 1

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