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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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A coin collection has 150 pennies and 350 nickels. If 40% of the pennies and 60% of the nickels were minted prior to 198

by Gmat_mission » Tue Nov 10, 2020 7:59 am

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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 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

Source: Manhattan GMAT
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Re: A coin collection has 150 pennies and 350 nickels. If 40% of the pennies and 60% of the nickels were minted prior to

by Scott@TargetTestPrep » Tue Nov 17, 2020 8:38 am
Gmat_mission wrote: ↑
Tue Nov 10, 2020 7:59 am
 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

Solution:

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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