Question 122877
1. Nine woodchucks can chuck eight pieces of wood in 3 hours. How much wood can a woodchuck chuck in 1 hour?
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Use woodchuck-hrs like we would use man-hours to complete a job:
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We can say it takes 9*3 = 27 "Woodchuck-hours" to dispense 8 pieces of wood
That's {{{27/8}}} "Woodchuck-hrs" for each piece of wood
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Find how much can be done in 1 woodchuck-hr
Let x = amt of wood chucked in 1 hr by 1 wood chuck
Ratio of 1 to 27/8 as x is to 1
{{{1/((27/8))}}} =  {{{(x/1)}}}
Cross multiply
{{{27/8}}}x = 1 
x = {{{8/27}}} piece of wood in 1 hr by 1 woodchuck
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Check by finding amt in 27 woodchuck-hrs: 27 * {{{8/27}}} = 8 pieces of wood
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2. By drawing two straight lines, divide the face of a clock into three regions such that the number in the regions have the same total.
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It helps to know the value in each of the 3 areas:  Add 1 thru 12, you get 78
Divide by 3 and you have 26 in each of the 3 areas
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On standard clock face draw  straight lines from:
between 4 & 5 to between 8 & 9
and
between 2 & 3 to between 10 & 11
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3. Some children are standing in a circular arrangement. They are evenly spaced and marked numerical in order. The fourth child is standing directly opposite the twelfth child. How many children are in the circle?
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The number of children from no. 4 to no. 12, is 8, which is half way around
therefore from 12 back to 4 is 8, more which is 16, (Sorry, I don't know that I was thinking}
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These are kind of tricky. Please let me know if you find that I made a mistake here.  Ankor