SOLUTION: 1. Nine woodchucks can chuck eight pieces of wood in 3 hours. How much wood can a woodchuck chuck in 1 hour? 2. By drawing two straight lines, divide the face of a clock into t

Question 122877: 1. Nine woodchucks can chuck eight pieces of wood in 3 hours. How much wood can a woodchuck chuck in 1 hour?
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.
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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. Nine woodchucks can chuck eight pieces of wood in 3 hours. How much wood can a woodchuck chuck in 1 hour?
:
Use woodchuck-hrs like we would use man-hours to complete a job:
:
We can say it takes 9*3 = 27 "Woodchuck-hours" to dispense 8 pieces of wood
That's "Woodchuck-hrs" for each piece of wood
:
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
=
Cross multiply
x = 1
x = piece of wood in 1 hr by 1 woodchuck
:
Check by finding amt in 27 woodchuck-hrs: 27 * = 8 pieces of wood
:
:
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.
:
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
:
On standard clock face draw straight lines from:
between 4 & 5 to between 8 & 9
and
between 2 & 3 to between 10 & 11
:
:
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?
:
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}
:
These are kind of tricky. Please let me know if you find that I made a mistake here. Ankor
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