How much wood...? #2
The serial woodchuck is back! After his initial chucking spree, each of the trees left un-chucked produce one tree sapling each. The chucking spree has left our woodchuck weary, so he goes into hibernation for 6 months. But to attain the same volume of the parent tree, each sapling must be allowed to grow for one year, undisturbed. After 6 months, the woodchuck is back from his slumber for more wood-chucking. How much wood could a woodchuck chuck if a woodchuck could chuck wood?
Details and Assumptions:
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Assume that the each sapling's growth in volume is linear.
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As with last time, the woodchuck will chuck 1 out of every 2 mature trees.
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But the woodchuck happens to absolutely LOVE saplings and wants to chuck 3 out of every 4 saplings.
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Each mature tree contains 10,000 cubic feet of wood.
How much total wood, in cubic feet, is chucked by the woodchuck? Round your answer to the nearest whole number.
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The answer is 4375000.
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1 solution
We know there are 500 mature trees (information from my previous problem), so there must also be 500 saplings. If the saplings' growth is linear, and from seed to mature tree takes 1 year, then they will be halfway grown by the time the woodchuck comes back. Each sapling's volume is thus 5,000 cubic feet (also information from my previous problem). The woodchuck chucks 2 1 of the 500 mature trees, which is 250 total trees. He also chucks 4 3 of the 500 saplings, which is 375 total saplings.
2 5 0 ∗ 1 0 0 0 0 equals 2,500,000 cubic feet of wood. 3 7 5 ∗ 5 0 0 0 is equal to 1,875,000 cubic feet of wood. 2 , 5 0 0 , 0 0 0 + 1 , 8 7 5 , 0 0 0 is equal to a total of 4 3 7 5 0 0 0 cubic feet of wood chucked by the woodchuck.