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28 March, 07:14

Out of 275 coins, 120 are quarters. Of the remaining coins, 20% are nickels and the rest are dimes and pennies. There are 3 pennies for every dime. How many pennies are there?

A. 31

B. 62

C. 93

D. 124

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Answers (1)
  1. 28 March, 07:36
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    Total number of coins in question = 275

    Number of quarters among the total coins = 120

    Then

    Remaining number of coins = 275 - 120

    = 155

    Percentage of coins that are nickel = 20%

    Then

    Number of coins that are nickel = (20/100) * 155

    = 155/5

    = 31

    Remaining number of coins = 155 - 31

    = 124

    Ratio of dimes to pennies = 1:3

    Let us assume the common ratio to be = x

    Then

    x + 3x = 124

    4x = 124

    x = 124/4

    = 31

    So

    The number of pennies = 3 * 31

    = 93

    From the above deduction we can conclude that there are 93 pennies. The correct option among all the options given in the question is option "C".
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