SOLUTION: Christopher has three times as many quarters as nickels and four times as many pennies as nickels. Christopher has a total of eighty pennies, nickels, and quarters. The total value

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Question 1192095: Christopher has three times as many quarters as nickels and four times as many pennies as nickels. Christopher has a total of eighty pennies, nickels, and quarters. The total value of the coins is $8.40. How many of each coin does he have?
Answer by ikleyn(52848) About Me  (Show Source):
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Christopher has three times as many quarters as nickels and four times as many pennies as nickels.
Christopher has a total of eighty pennies, nickels, and quarters.
The total value of the coins is $8.40. How many of each coin does he have?
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Group coins by placing on nickel, 3 quarters and 4 pennies in each group.

According to the problem, such a grouping is possible.


Each group is worth  5 + 3*25 + 4*1 = 84 pennies.


Hence, the number of these groups is  840_pennies%2F84_pennies = 10.


So, there are 10 nickels, 30 quarters and 40 pennies.    ANSWER.


CHECK.  We must check that the total number of coins is 80:

        10 + 30 + 40 = 80.    ! Correct !

Solved.