A coin collection has 150 pennies and 350 nickels. If 40% of the pennies and 60% of the nickels were minted prior to 1982, what percent of all the coins in the collection were minted prior to 1982?
(A) 51%
(B) 52%
(C) 53%
(D) 54%
(E) 55%
Answer: D
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A coin collection has 150 pennies and 350 nickels. If 40% of the pennies and 60% of the nickels were minted prior to 198
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Gmat_mission
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Solution:Gmat_mission wrote: ↑Tue Nov 10, 2020 7:59 amA coin collection has 150 pennies and 350 nickels. If 40% of the pennies and 60% of the nickels were minted prior to 1982, what percent of all the coins in the collection were minted prior to 1982?
(A) 51%
(B) 52%
(C) 53%
(D) 54%
(E) 55%
Answer: D
The number of pennies that were minted prior to 1982 is 150 x 0.4 = 60. The number of nickels that were minted prior to 1982 is 350 x 0.6 = 210, Therefore, the number of coins that were minted prior to 1982 is:
(60 + 210) / (150 + 350) x 100 = 270/500 x 100 = 270/5 = 54 percent of the total number of coins.
Answer: D
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