ByMicho680
Question from a riddle:
"The animals that stayed at home together have five times as many legs as I have budgies, and that means: there are 51 more legs than I have cats."
How many budgies?
how many cats?
(1 votes)
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9 cats
12 shafts
would fit, but it also went
29 cats
and 16 waves.
The first is more realistic
29 cats and 16 waves have together 29*4+16*2 = 116 + 32 = 148 legs. Since the number of shafts must be a positive integer, 148 cannot be five times.
Oh, the cats are also counted. I did not consider
20w = 3w + 204
After dissolving:
17w = 204
w = 12]
:
k = \frac{3(12)}{4} = \frac{36}{4} = 9
Solution:
Number of shafts: 12
Number of cats 9
4K + 2W = 5W
4K + 2W = K + 51
—————–
W = 12
K = 9
With a system of equations
w … Number of shafts
k … number of cats
And now a linear equation:
You have your answer.