8. When astronauts Antoine Weber and Rachel Sun landed on the
hypothetical planet Trifour they found the inhabitants had either 3 or 4
extremities. Weber could not look at the inhabitants' faces so he just
counted their extremities. Hecounted 173 extremities. Sun, on the
other hand, could not look at their extremities so she just counted faces.
She counted 51 faces. How many inhabitants had 3 extremities? How
many were there that had 4 extremities?

Question

23-09-2021
Mathematics

contestada

8. When astronauts Antoine Weber and Rachel Sun landed on the
hypothetical planet Trifour they found the inhabitants had either 3 or 4
extremities. Weber could not look at the inhabitants' faces so he just
counted their extremities. Hecounted 173 extremities. Sun, on the
other hand, could not look at their extremities so she just counted faces.
She counted 51 faces. How many inhabitants had 3 extremities? How
many were there that had 4 extremities?

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francocanacari francocanacari · Answer 1 · 2021-10-01T16:11:01+02:00

There were 80 inhabitants that had 4 extremities, and 93 that had 3 extremities.

Given that, when astronauts Antoine Weber and Rachel Sun landed on the hypothetical planet Trifour they found the inhabitants had either 3 or 4 extremities, and Weber could not look at the inhabitants' faces so he just counted their extremities, and he counted 173 extremities, while Sun, on the other hand, could not look at their extremities so she just counted faces, and she counted 51 faces, to determine ow many inhabitants had 3 extremities and how many were there that had 4 extremities, the following calculation has to be done:

51 x 4 + 0 x 3 = 204
204 - 173 = 31
20 x 4 + 31 x 3 = X
80 + 93 = X
173 = X

Therefore, there were 80 inhabitants that had 4 extremities, and 93 that had 3 extremities.

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