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A disease has infected an ant colony that consists of "workers" and 28 Jun 2022, 09:30
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35% (medium)

Question Stats:

70% (03:09) correct 30% (02:22) wrong based on 37 sessions

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A disease has infected an ant colony that consists of "workers" and "soldiers": 30% of the soldiers and 14% of the "workers" were infected. If that colony is inhabited by 7000 ants, out of which 1700 are infected, how many "workers" inhabit the colony?

A. 1500
B. 2500
C. 2750
D. 3000
E. 3250
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B
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A disease has infected an ant colony that consists of "workers" and 28 Jun 2022, 09:43
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Bunuel
A disease has infected an ant colony that consists of "workers" and "soldiers": 30% of the soldiers and 14% of the "workers" were infected. If that colony is inhabited by 7000 ants, out of which 1700 are infected, how many "workers" inhabit the colony?

A. 1500
B. 2500
C. 2750
D. 3000
E. 3250
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Total Workers =7000= Soldiers (S) + Workers(W)
Also given the fact that : 0.30S + .14 W = 1700
Two Equations Two Variables, by solving we get W = 2500
Option B
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A disease has infected an ant colony that consists of "workers" and 28 Jun 2022, 09:48
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System of equations were I cancel one of the variables through elimination.
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