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I don’t know if my mind is blanking out, or I’m just plain stupid. Here is the word problem that I can’t seem to understand:
While organizing his bookshelf, Michael noticed that he had eight more science-fiction novels than spy novels. If he owns 26 science-fiction novels and spy novels, how many of each type of novel does he own? Explain how you found your solution.
Thanks if you help!
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be the number of sci-fi novels and y
be the number of spy novels.
From the statement "he had eight more science-fiction novels than spy novels" we may write:
From the statement "he owns 26 science-fiction novels and spy novels" we may write:
If we substitute for x
from the first equation into the second, we have:
Now, using the first equation, and substituting the value we found for y
into it, we find:
Thus, we find that Michael has 17 sci-fi novels and 9 spy novels.
Living in the pools, They soon forget about the sea...— Rush, "Natural Science" (1980)
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