Give stream of consciousness and then the final answer. At the A-Street Fish Market a vendor sells fresh caught fish. His store is filled with 2/7 bass, 1/5 tuna, 1/7 trout, and the rest are catfish. If a customer just bought 1/7 of all the tuna and 1/7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of fish now in the store are trout?\nOptions:\n(A) 30/71\n(B) 4/7\n(C) 5/43\n(D) 1/2\n(E) 1/5
User
Bass = 2/7 = 10/35\nTuna = 1/5 = 7/35\nTrout = 1/7 = 5/35\nCatfish = 1 - (10/35 +7/35 + 5/35) = 13/35\nPurchased: Tuna = 7/35 - (7/35)(1/7) = 6/35, and\nCatfish = 13/35 - (13/35)(1/7) = 12/35\nStocked: doubling the number of bass (2)(10/35) = 20/35\nNow: 20 + 6 + 5 + 12 = 43\nTrout proportion is now 5/43.
The final answer: (C).
Assistant